Nessyahu-Tadmor-type central finite volume methods without predictor for 3D Cartesian and unstructured tetrahedral grids
DOI10.1016/S0168-9274(03)00025-4zbMath1025.65048MaRDI QIDQ1398679
Publication date: 7 August 2003
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
numerical exampleslinear multistep methodsshock tube problemTVDMUSCLcentered schemeLax-Friedrichs methodsupersonic inviscid flow
Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Non-oscillatory central differencing for hyperbolic conservation laws
- Numerical quadrature and solution of ordinary differential equations. A textbook for a beginning course in numerical analysis
- Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection
- A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
- A modified structured central scheme for 2D hyperbolic conservation laws
- Convergence to steady state solutions of the Euler equations on unstructured grids with limiters
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- Strong Stability-Preserving High-Order Time Discretization Methods
- Application of the Godunov method and its second-order extension to cascade flow modeling
- Total-Variation-Diminishing Time Discretizations
- Nonoscillatory Central Schemes for Multidimensional Hyperbolic Conservation Laws
- Convergence of a Finite Volume Extension of the Nessyahu--Tadmor Scheme on Unstructured Grids for a Two-Dimensional Linear Hyperbolic Equation
- Characteristic-based pressure correction at all speeds
- The Optimal Convergence Rate of Monotone Finite Difference Methods for Hyperbolic Conservation Laws
- A Finite Volume Extension of the Lax-Friedrichs and Nessyahu-Tadmor Schemes for Conservation Laws on Unstructured Grids
- Error Estimates for the Staggered Lax--Friedrichs Scheme on Unstructured Grids
- Central Differencing Based Numerical Schemes for Hyperbolic Conservation Laws with Relaxation Terms
- High-Order Central Schemes for Hyperbolic Systems of Conservation Laws
- A Fourth-Order Central WENO Scheme for Multidimensional Hyperbolic Systems of Conservation Laws
- Behavior of linear reconstruction techniques on unstructured meshes
- Weak solutions of nonlinear hyperbolic equations and their numerical computation
- Convergence of a staggered Lax-Friedrichs scheme for nonlinear conservation laws on unstructured two-dimensional grids
- New two- and three-dimensional non-oscillatory central finite volume methods on staggered Cartesian grids