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Compact high order finite volume method on unstructured grids IV: Explicit multi-step reconstruction schemes on compact stencil

https://doi.org/10.1016/j.jcp.2019.06.054
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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/cpa.3160070112openalex-snapshot
Weak solutions of nonlinear hyperbolic equations and their numerical computation
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High‐order k ‐exact WENO finite volume schemes for solving gas dynamic Euler equations on unstructured grids
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On Essentially Non-oscillatory Schemes on Unstructured Meshes: Analysis and Implementation
inferredcites →https://doi.org/10.1006/jcph.1996.0130openalex-snapshot
Efficient Implementation of Weighted ENO Schemes
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Quasi-ENO Schemes for Unstructured Meshes Based on Unlimited Data-Dependent Least-Squares Reconstruction
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Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes
inferredcites →https://doi.org/10.1006/jcph.1998.5988openalex-snapshot
Weighted Essentially Non-Oscillatory Schemes for the Interpolation of Mean Values on Unstructured Grids
inferredcites →https://doi.org/10.1006/jcph.1998.6165openalex-snapshot
Weighted Essentially Non-oscillatory Schemes on Triangular Meshes
inferredcites →https://doi.org/10.1006/jcph.2000.6443openalex-snapshot
Monotonicity Preserving Weighted Essentially Non-oscillatory Schemes with Increasingly High Order of Accuracy
inferredcites →https://doi.org/10.1006/jcph.2002.7041openalex-snapshot
Spectral (Finite) Volume Method for Conservation Laws on Unstructured Grids. Basic Formulation
inferredcites →https://doi.org/10.1006/jcph.2002.7082openalex-snapshot
Spectral (Finite) Volume Method for Conservation Laws on Unstructured Grids
inferredcites →https://doi.org/10.1006/jcph.2002.7159openalex-snapshot
A High-Order-Accurate Unstructured Mesh Finite-Volume Scheme for the Advection–Diffusion Equation
inferredcites →https://doi.org/10.1007/s10915-006-9113-9openalex-snapshot
Spectral Difference Method for Unstructured Grids II: Extension to the Euler Equations
inferredcites →https://doi.org/10.1016/0021-9991(81)90128-5openalex-snapshot
Approximate Riemann solvers, parameter vectors, and difference schemes
inferredcites →https://doi.org/10.1016/0021-9991(83)90066-9openalex-snapshot
Self adjusting grid methods for one-dimensional hyperbolic conservation laws
inferredcites →https://doi.org/10.1016/0021-9991(84)90142-6openalex-snapshot
The numerical simulation of two-dimensional fluid flow with strong shocks
inferredcites →https://doi.org/10.1016/0021-9991(87)90031-3openalex-snapshot
Uniformly high order accurate essentially non-oscillatory schemes, III
inferredcites →https://doi.org/10.1016/0021-9991(88)90177-5openalex-snapshot
Efficient implementation of essentially non-oscillatory shock-capturing schemes
inferredcites →https://doi.org/10.1016/0021-9991(89)90183-6openalex-snapshot
TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: One-dimensional systems
inferredcites →https://doi.org/10.1016/0021-9991(89)90222-2openalex-snapshot
Efficient implementation of essentially non-oscillatory shock-capturing schemes, II
inferredcites →https://doi.org/10.1016/0021-9991(92)90324-ropenalex-snapshot
Compact finite difference schemes with spectral-like resolution
inferredcites →https://doi.org/10.1016/j.camwa.2018.06.011openalex-snapshot
A 3D Lagrangian cell-centered hydrodynamic method with higher-order reconstructions for gas and solid dynamics
inferredcites →https://doi.org/10.1016/j.compfluid.2009.07.003openalex-snapshot
Arbitrary high order PNPM schemes on unstructured meshes for the compressible Navier–Stokes equations
inferredcites →https://doi.org/10.1016/j.compfluid.2013.12.008openalex-snapshot
The multi-dimensional limiters for discontinuous Galerkin method on unstructured grids
inferredcites →https://doi.org/10.1016/j.jcp.2003.09.012openalex-snapshot
Spectral (finite) volume method for conservation laws on unstructured grids IV: extension to two-dimensional systems
inferredcites →https://doi.org/10.1016/j.jcp.2003.10.014openalex-snapshot
Unified formulation for compressible and incompressible flows by using multi-integrated moments I: one-dimensional inviscid compressible flow
inferredcites →https://doi.org/10.1016/j.jcp.2005.08.002openalex-snapshot
Unified formulation for compressible and incompressible flows by using multi-integrated moments II: Multi-dimensional version for compressible and incompressible flows
inferredcites →https://doi.org/10.1016/j.jcp.2005.08.013openalex-snapshot
Simulations of pulsating one-dimensional detonations with true fifth order accuracy
inferredcites →https://doi.org/10.1016/j.jcp.2006.01.024openalex-snapshot
Spectral difference method for unstructured grids I: Basic formulation
inferredcites →https://doi.org/10.1016/j.jcp.2006.05.009openalex-snapshot
A bandwidth-optimized WENO scheme for the effective direct numerical simulation of compressible turbulence
inferredcites →https://doi.org/10.1016/j.jcp.2006.06.043openalex-snapshot
Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems
inferredcites →https://doi.org/10.1016/j.jcp.2006.12.017openalex-snapshot
A Hermite WENO-based limiter for discontinuous Galerkin method on unstructured grids
inferredcites →https://doi.org/10.1016/j.jcp.2007.04.004openalex-snapshot
Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems
inferredcites →https://doi.org/10.1016/j.jcp.2007.11.038openalex-snapshot
An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
inferredcites →https://doi.org/10.1016/j.jcp.2008.05.025openalex-snapshot
A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes
inferredcites →https://doi.org/10.1016/j.jcp.2008.12.003openalex-snapshot
Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magnetohydrodynamics
inferredcites →https://doi.org/10.1016/j.jcp.2009.03.038openalex-snapshot
Divergence-free reconstruction of magnetic fields and WENO schemes for magnetohydrodynamics
inferredcites →https://doi.org/10.1016/j.jcp.2009.06.009openalex-snapshot
Very high order PNPM schemes on unstructured meshes for the resistive relativistic MHD equations
inferredcites →https://doi.org/10.1016/j.jcp.2010.07.035openalex-snapshot
Construction of very high order residual distribution schemes for steady inviscid flow problems on hybrid unstructured meshes
inferredcites →https://doi.org/10.1016/j.jcp.2011.03.032openalex-snapshot
A class of hybrid DG/FV methods for conservation laws II: Two-dimensional cases
inferredcites →https://doi.org/10.1016/j.jcp.2011.06.010openalex-snapshot
A class of hybrid DG/FV methods for conservation laws I: Basic formulation and one-dimensional systems
inferredcites →https://doi.org/10.1016/j.jcp.2011.06.018openalex-snapshot
The multi-dimensional limiters for solving hyperbolic conservation laws on unstructured grids
inferredcites →https://doi.org/10.1016/j.jcp.2012.01.029openalex-snapshot
The multi-dimensional limiters for solving hyperbolic conservation laws on unstructured grids II: Extension to high order finite volume schemes
inferredcites →https://doi.org/10.1016/j.jcp.2014.10.046openalex-snapshot
A high-order CFD method using successive differentiation
inferredcites →https://doi.org/10.1016/j.jcp.2016.01.036openalex-snapshot
Compact high order finite volume method on unstructured grids I: Basic formulations and one-dimensional schemes
inferredcites →https://doi.org/10.1016/j.jcp.2016.01.037openalex-snapshot
Positivity-preserving cell-centered Lagrangian schemes for multi-material compressible flows: From first-order to high-orders. Part II: The two-dimensional case
inferredcites →https://doi.org/10.1016/j.jcp.2016.03.048openalex-snapshot
Compact high order finite volume method on unstructured grids II: Extension to two-dimensional Euler equations
inferredcites →https://doi.org/10.1016/j.jcp.2017.02.031openalex-snapshot
Compact high order finite volume method on unstructured grids III: Variational reconstruction
inferredcites →https://doi.org/10.1023/a:1012873910884openalex-snapshot
Runge–Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems
inferredcites →https://doi.org/10.1023/a:1025896119548openalex-snapshot
Spectral (Finite) Volume Method for Conservation Laws on Unstructured Grids III: One Dimensional Systems and Partition Optimization
inferredcites →https://doi.org/10.1090/s0025-5718-1989-0983311-4openalex-snapshot
TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. II. General framework
inferredcites →https://doi.org/10.1090/s0025-5718-1990-1010597-0openalex-snapshot
The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. IV. The multidimensional case
inferredcites →https://doi.org/10.2514/6.1990-13openalex-snapshot
Higher order solution of the Euler equations on unstructured grids using quadratic reconstruction
inferredcites →https://doi.org/10.2514/6.1999-3259openalex-snapshot
Quadratic reconstruction finite volume schemes on 3D arbitrary unstructured polyhedral grids
inferredcites →https://doi.org/10.2514/6.2006-304openalex-snapshot
A Spectral Difference Method for the Euler and Navier-Stokes Equations on Unstructured Meshes

What points at this work

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

inferred← citeshttps://doi.org/10.2139/ssrn.4499156openalex-extracted
A General Positivity-Preserving Algorithm for Implicit High-Order Finite Volume Schemes Solving the Euler and Navier-Stokes Equations
inferred← citeshttps://doi.org/10.1002/fld.4839openalex-snapshot
A framework to perform high‐order deconvolution for finite‐volume method on simplicial meshes
inferred← citeshttps://doi.org/10.1007/s10915-021-01538-4openalex-snapshot
High Order Finite Volume Schemes for Solving the Non-Conservative Convection Equations on the Unstructured Grids
inferred← citeshttps://doi.org/10.1016/j.apm.2020.10.011openalex-snapshot
A third-order weighted variational reconstructed discontinuous Galerkin method for solving incompressible flows
inferred← citeshttps://doi.org/10.1016/j.compfluid.2022.105436openalex-snapshot
Compact multi-stage reconstruction method on polyhedral unstructured grids: Extension to higher-order finite volume scheme
inferred← citeshttps://doi.org/10.1016/j.compfluid.2025.106663openalex-snapshot
Novel finite volume method with Walsh basis function and its multigrid features
inferred← citeshttps://doi.org/10.1016/j.jcp.2021.110629openalex-snapshot
An implicit high-order k-exact finite-volume approach on vertex-centered unstructured grids for incompressible flows
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A two-stage fourth-order gas-kinetic CPR method for the Navier-Stokes equations on triangular meshes
inferred← citeshttps://doi.org/10.1016/j.jcp.2022.111458openalex-snapshot
High-order compact finite volume schemes for solving the Reynolds averaged Navier-Stokes equations on the unstructured mixed grids with a large aspect ratio
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Machine learning optimization of compact finite volume methods on unstructured grids
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A general positivity-preserving algorithm for implicit high-order finite volume schemes solving the Euler and Navier-Stokes equations
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High-order accurate implicit time marching scheme for solving compressible Navier–Stokes equations based on temporal reconstruction
inferred← citeshttps://doi.org/10.1016/j.jcp.2026.115014openalex-snapshot
Positivity-preserving implicit finite volume methods on unstructured grids for compressible flows
inferred← citeshttps://doi.org/10.1016/j.ocemod.2022.102157openalex-snapshot
Low dispersion finite volume/element discretization of the enhanced Green–Naghdi equations for wave propagation, breaking and runup on unstructured meshes
inferred← citeshttps://doi.org/10.1134/s0965542522010109openalex-snapshot
Third-Order Accurate Conservative Method on a Unstructured Mesh for Gasdynamic Simulations
inferred← citeshttps://doi.org/10.2139/ssrn.5375426openalex-snapshot
Stencils for High–Order Computational Fluid Dynamics with Adaptive Mesh Refinement
inferred← citeshttps://doi.org/10.2139/ssrn.6439068openalex-snapshot
Accelerating implicit high-order unstructured finite volumeschemes with p-multigrid
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Discontinuity-adaptive cell-wise variational reconstruction for high-order finite-volume discretizations of the compressible Euler and Navier--Stokes equations on unstructured meshes
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