A rotated characteristic decomposition technique for high-order reconstructions in multi-dimensions
DOI10.1007/s10915-021-01602-zzbMath1498.65145arXiv2105.10106OpenAlexW3195992017MaRDI QIDQ2050556
Publication date: 31 August 2021
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.10106
Shock waves and blast waves in fluid mechanics (76L05) 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) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Euler equations (35Q31)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Arbitrary high order \(P_{N}P_{M}\) schemes on unstructured meshes for the compressible Navier-Stokes equations
- The piecewise parabolic method (PPM) for gas-dynamical simulations
- Very high order \(P_NP_M\) schemes on unstructured meshes for the resistive relativistic MHD equations
- Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method. II: Two dimensional case
- Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems
- A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes
- Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magneto\-hydrodynamics
- The numerical simulation of two-dimensional fluid flow with strong shocks
- Implicit total variation diminishing (TVD) schemes for steady-state calculations
- Uniformly high order accurate essentially non-oscillatory schemes. III
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
- Weighted essentially non-oscillatory schemes on triangular meshes
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- On essentially non-oscillatory schemes on unstructured meshes: Analysis and implementation
- Weighted essentially non-oscillatory schemes
- A characteristic-wise hybrid compact-WENO scheme for solving hyperbolic conservation laws.
- Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: One-dimensional case.
- Numerical study on the convergence to steady state solutions of a new class of high order WENO schemes
- An adaptive characteristic-wise reconstruction WENO-Z scheme for gas dynamic Euler equations
- On the construction, comparison, and local characteristic decomposition for high-order central WENO schemes
- Efficient implementation of weighted ENO schemes
- Hybrid weighted essentially non-oscillatory schemes with different indicators
- A third order central WENO scheme for 2D conservation laws
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
- The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- Central WENO schemes for hyperbolic systems of conservation laws
- Compact Central WENO Schemes for Multidimensional Conservation Laws
- Numerical Entropy and Adaptivity for Finite Volume Schemes
- Optimal Definition of the Nonlinear Weights in Multidimensional Central WENOZ Reconstructions
- Runge-Kutta Discontinuous Galerkin Method with a Simple and Compact Hermite WENO Limiter
