Finite volume discretization of heat equation and compressible Navier-Stokes equations with weak Dirichlet boundary condition on triangular grids
From MaRDI portal
Publication:2363809
DOI10.1007/s12572-015-0160-zzbMath1367.65122OpenAlexW2255090857MaRDI QIDQ2363809
Publication date: 26 July 2017
Published in: International Journal of Advances in Engineering Sciences and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12572-015-0160-z
finite volumeenergy stabilitytriangular gridscompressible Navier-StokesSBPkinetic energy preservation
Navier-Stokes equations (35Q30) Wave equation (35L05) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Related Items
Convergence of Chandrashekar's second-derivative finite-volume approximation ⋮ An entropy stable finite volume scheme for the two dimensional Navier-Stokes equations on triangular grids ⋮ Unnamed Item
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Weak and strong wall boundary procedures and convergence to steady-state of the Navier-Stokes equations
- Higher-order mimetic methods for unstructured meshes
- An accuracy evaluation of unstructured node-centred finite volume methods
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Summation by parts for finite difference approximations for \(d/dx\)
- Kinetic flux vector splitting for Euler equations
- Stable and accurate boundary treatments for compact, high-order finite- difference schemes
- Approximation of boundary conditions for mimetic finite-difference methods
- Finite volume methods, unstructured meshes and strict stability for hyperbolic problems
- High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
- Symmetry-preserving discretization of turbulent flow.
- Stability of finite volume approximations for the Laplacian operator on quadrilateral and triangular grids
- Convergence to steady state solutions of the Euler equations on unstructured grids with limiters
- Support-operator finite-difference algorithms for general elliptic problems
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- A stable high-order finite difference scheme for the compressible Navier-Stokes equations, far-field boundary conditions
- Formulation of kinetic energy preserving conservative schemes for gas dynamics and direct numerical simulation of one-dimensional viscous compressible flow in a shock tube using entropy and kinetic energy preserving schemes
- Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
- An Introduction to Fluid Dynamics
- Discrete Conservation Properties of Unstructured Mesh Schemes
- Finite volume approximations and strict stability for hyperbolic problems
