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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

https://doi.org/10.2139/ssrn.7327565
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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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High‐order CFD methods: current status and perspective
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Solution of two‐dimensional Riemann problems for gas dynamics without Riemann problem solvers
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A Numerical Resolution Study of High Order Essentially Non-oscillatory Schemes Applied to Incompressible Flow
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Convergence to Steady State Solutions of the Euler Equations on Unstructured Grids with Limiters
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Efficient Implementation of Weighted ENO Schemes
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Multidimensional Dissipation for Upwind Schemes: Stability and Applications to Gas Dynamics
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Multidimensional Slope Limiters for MUSCL-Type Finite Volume Schemes on Unstructured Grids
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A High-Order-Accurate Unstructured Mesh Finite-Volume Scheme for the Advection–Diffusion Equation
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Approximate Riemann solvers, parameter vectors, and difference schemes
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The numerical simulation of two-dimensional fluid flow with strong shocks
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Efficient implementation of essentially non-oscillatory shock-capturing schemes
inferredcites →https://doi.org/10.1016/j.cja.2018.06.018openalex-snapshot
High-order compact finite volume methods on unstructured grids with adaptive mesh refinement for solving inviscid and viscous flows
inferredcites →https://doi.org/10.1016/j.compfluid.2017.03.008openalex-snapshot
Accuracy preserving limiter for the high-order finite volume 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.2009.08.021openalex-snapshot
Accuracy preserving limiter for the high-order accurate solution of the Euler equations
inferredcites →https://doi.org/10.1016/j.jcp.2009.10.011openalex-snapshot
Multi-dimensional limiting process for hyperbolic conservation laws on unstructured grids
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.2014.08.009openalex-snapshot
A posteriori subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws
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.2016.03.039openalex-snapshot
WLS-ENO: Weighted-least-squares based essentially non-oscillatory schemes for finite volume methods on unstructured meshes
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/10.1016/j.jcp.2018.02.009openalex-snapshot
Extended bounds limiter for high-order finite-volume schemes on unstructured meshes
inferredcites →https://doi.org/10.1016/j.jcp.2019.04.059openalex-snapshot
An improved WLS-ENO method for solving hyperbolic conservation laws
inferredcites →https://doi.org/10.1016/j.jcp.2019.06.054openalex-snapshot
Compact high order finite volume method on unstructured grids IV: Explicit multi-step reconstruction schemes on compact stencil
inferredcites →https://doi.org/10.1016/j.jcp.2020.110088openalex-snapshot
Low-dissipation BVD schemes for single and multi-phase compressible flows on unstructured grids
inferredcites →https://doi.org/10.1016/j.jcp.2022.111534openalex-snapshot
Constrained least-squares based adaptive-order finite-volume WENO scheme for the simulation of viscous compressible flows on unstructured grids
inferredcites →https://doi.org/10.1016/j.jcp.2022.111603openalex-snapshot
GP-MOOD: A positivity-preserving high-order finite volume method for hyperbolic conservation laws
inferredcites →https://doi.org/10.1016/s0045-7930(01)00055-xopenalex-snapshot
Simulation of a viscous compressible flow past a circular cylinder with high-order discontinuous Galerkin methods
inferredcites →https://doi.org/10.1137/0907058openalex-snapshot
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
inferredcites →https://doi.org/10.1137/s1064827595291819openalex-snapshot
Solution of Two-Dimensional Riemann Problems of Gas Dynamics by Positive Schemes
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