Shock capturing artificial dissipation for high-order finite difference schemes
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Publication:618459
DOI10.1007/s10915-009-9285-1zbMath1203.76104OpenAlexW2076122485MaRDI QIDQ618459
Magnus Svärd, Siddhartha Mishra
Publication date: 16 January 2011
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-009-9285-1
Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)
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Cites Work
- Unnamed Item
- Unnamed Item
- Stable and accurate artificial dissipation
- On the order of accuracy for difference approximations of initial-boundary value problems
- A bandwidth-optimized WENO scheme for the effective direct numerical simulation of compressible turbulence
- Optimization of nonlinear error for weighted essentially non-oscillatory methods in direct numerical simulations of compressible turbulence
- A stable high-order finite difference scheme for the compressible Navier-Stokes equations: No-slip wall boundary conditions
- High-order accurate computations for unsteady aerodynamics
- Self-adjusting grid methods for one-dimensional hyperbolic conservation laws
- High resolution schemes for hyperbolic conservation laws
- Uniformly high order accurate essentially non-oscillatory schemes. III
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- Approximate Riemann solvers, parameter vectors, and difference schemes
- A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
- Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
- Conservative hybrid compact-WENO schemes for shock-turbulence interaction
- Efficient implementation of weighted ENO schemes
- A high-resolution hybrid compact-ENO scheme for shock-turbulence interaction problems
- A stable high-order finite difference scheme for the compressible Navier-Stokes equations, far-field boundary conditions
- Stability criteria for hybrid difference methods
- Accurate partial difference methods. II: Non-linear problems
- Steady-state computations using summation-by-parts operators
- High Resolution Schemes and the Entropy Condition
- Numerical Viscosity and the Entropy Condition for Conservative Difference Schemes
- The Numerical Viscosity of Entropy Stable Schemes for Systems of Conservation Laws. I
- The Convergence Rate for Difference Approximations to General Mixed Initial-Boundary Value Problems
- The Convergence Rate for Difference Approximations to Mixed Initial Boundary Value Problems
- Convergence of Finite Difference Schemes for Conservation Laws in Several Space Dimensions: A General Theory
- The Convergence Rate of Finite Difference Schemes in the Presence of Shocks
- Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems
- Finite Volume Methods for Hyperbolic Problems