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Evolution, Implementation, and Application of Level Set and Fast Marching Methods for Advancing Fronts

https://doi.org/10.1006/jcph.2000.6657
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Outgoing claims: the papers this work cites, builds on, or argues with.

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A Level Set Approach to a Unified Model for Etching, Deposition, and Lithography II: Three-Dimensional Simulations
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A Level Set Formulation of Eulerian Interface Capturing Methods for Incompressible Fluid Flows
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Level Set Methods Applied to Modeling Detonation Shock Dynamics
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A Variational Level Set Approach to Multiphase Motion
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A Hybrid Method for Moving Interface Problems with Application to the Hele–Shaw Flow
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A Simple Level Set Method for Solving Stefan Problems
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Capturing the Behavior of Bubbles and Drops Using the Variational Level Set Approach
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A Level Set Approach to a Unified Model for Etching, Deposition, and Lithography
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Numerical Schemes for the Hamilton–Jacobi and Level Set Equations on Triangulated Domains
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The Fast Construction of Extension Velocities in Level Set Methods
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The Ghost Fluid Method for Deflagration and Detonation Discontinuities
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Structural Boundary Design via Level Set and Immersed Interface Methods
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SLIC (Simple Line Interface Calculation)
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Numerical Methods for Propagating Fronts
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Volume of fluid (VOF) method for the dynamics of free boundaries
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A continuum method for modeling surface tension
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Projection methods coupled to level set interface techniques
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A method for simulating sharp fluid interfaces in groundwater flow
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The liquid bridge with marangoni effect
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Dynamical behaviour of a premixed turbulent open V-flame
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Axisymmetric free boundary problems
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Two-phase modelling of a fluid mixing layer
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Direct numerical simulations of bubbly flows Part 2. Moderate Reynolds number arrays
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Theory, algorithms, and applications of level set methods for propagating interfaces
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A level-set approach for inverse problems involving obstacles Fadil SANTOSA
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Study of three-dimensional Rayleigh–Taylor instability in compressible fluids through level set method and parallel computation
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Direct numerical simulations of three-dimensional bubbly flows
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Fast methods for the Eikonal and related Hamilton– Jacobi equations on unstructured meshes
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Image processing via level set curvature flow.
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An O(N log N) algorithm for shape modeling.
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A fast marching level set method for monotonically advancing fronts.
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Simulation of Front Propagation at Large Non-dimensional Flow Disturbance Intensities
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A Computed example of nonuniqueness of mean curvature flow in R3
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Shape modeling with front propagation: a level set approach
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Finding shortest paths on surfaces using level sets propagation
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An overview of level set methods for etching, deposition, and lithography development
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Numerical Simulation of Film Boiling Near Critical Pressures With a Level Set Method
inferredcites →https://doi.org/10.1115/1.3005097openalex-snapshot
Layout Optimization of Structures
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Two new methods for simulating photolithography development in 3D
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Fast-marching level-set methods for three-dimensional photolithography development
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A Viscosity Solutions Approach to Shape-From-Shading
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The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
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The Explicit-Jump Immersed Interface Method: Finite Difference Methods for PDEs with Piecewise Smooth Solutions
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Fast Marching Methods
inferredcites →https://doi.org/10.1137/s1064827595293600openalex-snapshot
Three-Dimensional Front Tracking
inferredcites →https://doi.org/10.1145/37401.37422openalex-snapshot
Marching cubes: A high resolution 3D surface construction algorithm
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Finite-difference calculation of traveltimes in three dimensions
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Prestack depth migration by means of controlled illumination
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Robust and efficient upwind finite-difference traveltime calculations in three dimensions
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3-D traveltime computation using the fast marching method
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Finite-difference calculation of travel times
inferredcites →https://doi.org/10.2172/395612openalex-snapshot
An adaptive level set method
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Fast Poisson, Fast Helmholtz and fast linear elastostatic solvers on rectangular parallelepipeds
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Marmousi, model and data
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Numerical algorithms for propagating interfaces: Hamilton-Jacobi equations and conservation laws
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Level set approach to mean curvature flow in arbitrary codimension

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Material Design Using Topology Optimization with Immersed Interface Fem
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Higher-order symmetries and conservation laws of the G-equation for premixed combustion and resulting numerical schemes
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Multiple cohesive crack growth in brittle materials by the extended Voronoi cell finite element model
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Accelerated redistancing for level set-based process simulations with the fast iterative method
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The Flexible, Extensible and Efficient Toolbox of Level Set Methods
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A new expert system based on hybrid colour and structure descriptor and machine learning algorithms for early glaucoma diagnosis
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Segmentation under geometrical conditions using geodesic active contours and interpolation using level set methods
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Using a level set approach for image segmentation under interpolation conditions
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Geodesic active contour under geometrical conditions: theory and 3D applications
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Generalized fast marching method: applications to image segmentation
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Registration of Brain Atlas to MR Images Using Topology Preserving Front Propagation
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Wireless Indoor Positioning Method with Evaluation of Channel Propagation Model by TR-FMM
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A volume-amending method to improve mass conservation of level set approach for incompressible two-phase flows
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Numerical simulation of underwater explosion bubble with a refined interface treatment
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Differential Geometry Based Multiscale Models
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Single-iterative algorithm based on first arrival waves for the forward modeling of two-dimensional tomography
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Novel heat transfer issues associated with the design and safe operation of the MEGAPIE spallation source target
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Numerical Modeling and Experimental Validation of Free Surface Flow Problems
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Analysis of Jiangsu tidal flats reclamation from 1974 to 2012 using remote sensing
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Numerical solution and sensitivity analysis of a Fisher–KPP equation with nonlocal diffusion and free boundaries
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An approximate solver for multi-medium Riemann problem with Mie–Grüneisen equations of state
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Assessment of Fatigue Life in Presence of Different Hole Geometries by X-FEM
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A Review of Interface-Driven Adaptivity for Phase-Field Modeling of Fluid–Structure Interaction
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Computational fluid dynamics
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Understanding of Rockburst Evolution Mechanism Using Numerical Modeling
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Theory and Observations: Body Waves, Ray Methods, and Finite-Frequency Effects
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Modelling the evolution of phase boundaries in solids at the meso- and nano-scales
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IGA_RDTOP: A compact MATLAB framework for reaction-diffusion-based topology optimization using isogeometric analysis
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Stochastic modelling of karstic networks of Potiguar Basin, Brazil
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Multi-stencils fast marching method for factored eikonal equations with quadratic anisotropy
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Discontinuous cellular automaton method for crack growth analysis without remeshing
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Implicit curve reconstruction with sharp features
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A new geometrical approach for fast prediction of front propagation
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A composite Level Set and Extended-Domain-Eigenfunction Method for simulating 2D Stokes flow involving a free surface
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MIB Galerkin method for elliptic interface problems
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Finite volume formulation of the MIB method for elliptic interface problems
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A Galerkin formulation of the MIB method for three dimensional elliptic interface problems
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VOF/FVM prediction and experimental validation for shear-thinning fluid column collapse
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Numerical simulations of flows in cerebral aneurysms using the lattice Boltzmann method with single- and multiple-relaxation time collision models
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Numerical simulation of filtration processes in the flow-induced deformation of fibrous porous media by a three-dimensional two-way fluid–structure interaction scheme
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Multiscale modeling and neural network model based control of a plasma etch process
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Advances in the numerical treatment of grain-boundary migration: Coupling with mass transport and mechanics
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Multi-fluid flows with the Particle Finite Element Method
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A unified level set based methodology for fast generation of complex microstructural multi-phase RVEs
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Constraints of distance from boundary to skeleton: For the control of length scale in level set based structural topology optimization
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Elemental enriched spaces for the treatment of weak and strong discontinuous fields
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Kriging-assisted topology optimization of crash structures
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A novel diffuse-interface model and a fully-discrete maximum-principle-preserving energy-stable method for two-phase flow with surface tension and non-matching densities
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An ODE-driven level-set density method for topology optimization
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On tailoring fracture resistance of brittle structures: A level set interface-enriched topology optimization approach
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A unified level set method for simulating mixed granular flows involving multiple non-spherical DEM models in complex structures
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A fourth-order reaction diffusion-based level set method for isogeometric topology optimization
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Accelerating CMA-ES-based topology optimization through B-spline parameterized level-set method
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Local stress-constrained isogeometric topology optimization using fourth-order reaction-diffusion
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Accurate liver vessel segmentation via active contour model with dense vessel candidates
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A numerical method for the efficient atomistic simulation of the plasma-etch of nano-patterned structures
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Gap-free segmentation of vascular networks with automatic image processing pipeline
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Deep learning based classification of facial dermatological disorders
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Diagnosis of skin diseases in the era of deep learning and mobile technology
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Interface tracking with dynamically-redistributed surface markers in unstructured quadrangular grids
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On the application of the single-phase level set method to naval hydrodynamic flows
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A volume-of-fluid interfacial flow solver with advected normals
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Level-set method for the modelling of liquid bridge formation and break-up
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Parallel, sharp interface Eulerian approach to high-speed multi-material flows
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Simulation of collapse and fragmentation phenomena in a sharp interface Eulerian setting
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Capturing of interface topological changes in two-phase gas–liquid flows using a coupled volume-of-fluid and level-set method (VOSET)
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Monotone level-sets on arbitrary meshes without redistancing
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Toward free-surface flow simulations with correct energy evolution: An isogeometric level-set approach with monolithic time-integration
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An automatic variational level set segmentation framework for computer aided dental X-rays analysis in clinical environments
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Diffusion tensor-based fast marching for modeling human brain connectivity network
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Automated TIMI frame counting using 3-d modeling
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Homogenization of transverse elastic properties of Cf/Mg composites at an elevated temperature and containing a small fraction of liquid phase
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Direct numerical simulations of flows with phase change
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Sparse field level set method for non-convex Hamiltonians in 3D plasma etching profile simulations
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Decay regions segmentation from color images of ancient monuments using fast marching method
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Fast PDE approach to surface reconstruction from large cloud of points
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Numerical analysis of coalescence motion of droplets in oil under CPPM electric field
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Molecular dynamics promotes study of droplet electrocoalescence: A mini-review
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A reaction–diffusion based level set method for image segmentation in three dimensions
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Structural fatigue crack propagation simulation and life prediction based on improved XFEM-VCCT
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Effects of spatial and temporal variation in environmental conditions on simulation of wildfire spread
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Incorporating convective feedback in wildfire simulations using pyrogenic potential
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River reconstruction using a conformal mapping method
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Modelling wildfire spread and spotfire merger using conformal mapping and AAA-least squares methods
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pyKasso: An open-source three-dimensional discrete karst network generator
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Thermal-fluid-electrochemical topology optimization of lithium-ion cooling plates via a level-set approach
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Development of a free surface flow solver for the simulation of wave/body interactions
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Direct numerical simulations of gas/liquid multiphase flows
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Determination of optimal oil well placement using deep learning under geological uncertainty
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Investigations of water droplet impact and freezing on a cold substrate with the Lattice Boltzmann method
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Multiscale modeling of particle–solidification front dynamics, Part I: Methodology
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Numerical and experimental investigation of two phase flow during boiling in a coiled tube
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Boiling flow of R141b in vertical and inclined Serpentine Tubes
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Review on the fundamentals and investigations of falling film dehumidification/absorption refrigeration based on CFD technology
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A front tracking algorithm for hypervelocity impact problems with crack growth, large deformations and high strain rates
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Level set-based topology optimization of micropolar solids under thermo-mechanical loading
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Mass conservation and reduction of parasitic interfacial waves in level-set methods for the numerical simulation of two-phase flows: A comparative study
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Upward and downward two-phase flow of CO2 in a pipe: Comparison between experimental data and model predictions
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Improved gas influx distribution estimation using interfacial area transport equation (IATE) enabled two-fluid model: An advanced modeling and full-scale experimental study
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A unified numerical scheme for complex fluid solid interactions with reduced and detailed chemical reactions
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A comprehensive benchmark of fixed-grid methods for the modeling of melting
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Static corrections in mountainous areas using Fresnel-wavepath tomography
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A surface marker algorithm coupled to an area-preserving marker redistribution method for three-dimensional interface tracking
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Imaging of location and geometry for extended targets using the response matrix
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A compressible flow model with capillary effects
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Sharp interface Cartesian grid method I: An easily implemented technique for 3D moving boundary computations
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A Lagrangian particle level set method
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A conservative interface method for compressible flows
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A new high-order immersed interface method for solving elliptic equations with imbedded interface of discontinuity
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Advecting normal vectors: A new method for calculating interface normals and curvatures when modeling two-phase flows
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Simple and efficient relaxation methods for interfaces separating compressible fluids, cavitating flows and shocks in multiphase mixtures
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Level-set, penalization and cartesian meshes: A paradigm for inverse problems and optimal design
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Differential geometry based solvation model I: Eulerian formulation
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A conservative level set method suitable for variable-order approximations and unstructured meshes
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MIB method for elliptic equations with multi-material interfaces
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The Local Front Reconstruction Method for direct simulation of two- and three-dimensional multiphase flows
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A simple second order cartesian scheme for compressible Euler flows
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A 3D Unsplit Forward/Backward Volume-of-Fluid Approach and Coupling to the Level Set Method
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