Admissibility preserving subcell limiter for Lax-Wendroff flux reconstruction
DOI10.1007/s10915-024-02482-9arXiv2305.10781MaRDI QIDQ6120010
Praveen Chandrashekar, Arpit Babbar, Sudarshan Kumar Kenettinkara
Publication date: 25 March 2024
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2305.10781
PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite volume methods applied to problems in fluid mechanics (76M12) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Hyperbolic conservation laws (35L65) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical quadrature and cubature formulas (65D32) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Cites Work
- Unnamed Item
- Unnamed Item
- \textit{A posteriori} subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws
- Positivity-preserving high order finite difference WENO schemes for compressible Euler equations
- On the non-linear stability of flux reconstruction schemes
- A high-order finite volume method for systems of conservation laws-multi-dimensional optimal order detection (MOOD)
- On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
- A new class of high-order energy stable flux reconstruction schemes
- A simple robust and accurate \textit{a posteriori} sub-cell finite volume limiter for the discontinuous Galerkin method on unstructured meshes
- Third order maximum-principle-satisfying direct discontinuous Galerkin methods for time dependent convection diffusion equations on unstructured triangular meshes
- A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes
- On maximum-principle-satisfying high order schemes for scalar conservation laws
- The numerical simulation of two-dimensional fluid flow with strong shocks
- Front tracking and two-dimensional Riemann problems
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
- Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection
- Low-dissipative high-order shock-capturing methods using characteristic-based filters
- Parallel, adaptive finite element methods for conservation laws
- ADER: Arbitrary high-order Godunov approach
- Approximate Lax-Wendroff discontinuous Galerkin methods for hyperbolic conservation laws
- Positivity-preserving discontinuous Galerkin methods with Lax-Wendroff time discretizations
- An approximate Lax-Wendroff-type procedure for high order accurate schemes for hyperbolic conservation laws
- ADER schemes for three-dimensional non-linear hyperbolic systems
- Lax-Wendroff approximate Taylor methods with fast and optimized weighted essentially non-oscillatory reconstructions
- Third order maximum-principle-satisfying and positivity-preserving Lax-Wendroff discontinuous Galerkin methods for hyperbolic conservation laws
- Subcell limiting strategies for discontinuous Galerkin spectral element methods
- An order-adaptive compact approximation Taylor method for systems of conservation laws
- A provably entropy stable subcell shock capturing approach for high order split form DG for the compressible Euler equations
- A single-step third-order temporal discretization with Jacobian-free and Hessian-free formulations for finite difference methods
- A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics
- An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. II: Subcell finite volume shock capturing
- Nonlinearly stable flux reconstruction high-order methods in split form
- Lax-Wendroff flux reconstruction method for hyperbolic conservation laws
- Positivity-preserving entropy-based adaptive filtering for discontinuous spectral element methods
- On nodal point sets for flux reconstruction
- \textit{A posteriori} correction of high-order discontinuous Galerkin scheme through subcell finite volume formulation and flux reconstruction
- Sparse invariant domain preserving discontinuous Galerkin methods with subcell convex limiting
- A new family of weighted one-parameter flux reconstruction schemes
- Improved detection criteria for the multi-dimensional optimal order detection (MOOD) on unstructured meshes with very high-order polynomials
- A sub-cell based indicator for troubled zones in RKDG schemes and a novel class of hybrid RKDG+HWENO schemes
- Limiters for high-order discontinuous Galerkin methods
- The discontinuous Galerkin method with Lax--Wendroff type time discretizations
- Why the MUSCL-Hancock scheme is \(\text{L}^{1}\)-stable
- An evaluation of several differencing methods for inviscid fluid flow problems
- Numerical simulation of high Mach number astrophysical jets with radiative cooling
- An extended range of stable-symmetric-conservative flux reconstruction correction functions
- Is the classic convex decomposition optimal for bound-preserving schemes in multiple dimensions?
- Shock Capturing for Discontinuous Galerkin Methods using Finite Volume Subcells
- Julia: A Fresh Approach to Numerical Computing
- Viscous Shock Capturing in a Time-Explicit Discontinuous Galerkin Method
- On the Relation Between the Upwind-Differencing Schemes of Godunov, Engquist–Osher and Roe
- Conjecture on the Structure of Solutions of the Riemann Problem for Two-Dimensional Gas Dynamics Systems
- The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- Solution of Two-Dimensional Riemann Problems of Gas Dynamics by Positive Schemes
- Finite Difference WENO Schemes with Lax--Wendroff-Type Time Discretizations
- Runge--Kutta Discontinuous Galerkin Method Using WENO Limiters
- High-Resolution Conservative Algorithms for Advection in Incompressible Flow
- A simple shock‐capturing technique for high‐order discontinuous Galerkin methods
- The Multidimensional Optimal Order Detection method in the three‐dimensional case: very high‐order finite volume method for hyperbolic systems
- An Oscillation-free Discontinuous Galerkin Method for Scalar Hyperbolic Conservation Laws
- One‐dimensional shock‐capturing for high‐order discontinuous Galerkin methods
- Spectral Methods
- A problem-independent limiter for high-order Runge-Kutta discontinuous Galerkin methods
- Hybrid DG/FV schemes for magnetohydrodynamics and relativistic hydrodynamics