An entropy stable finite volume scheme for the two dimensional Navier-Stokes equations on triangular grids
From MaRDI portal
Publication:1740098
DOI10.1016/j.amc.2017.07.020zbMath1426.76414OpenAlexW2736789745MaRDI QIDQ1740098
Praveen Chandrashekar, Deep Ray
Publication date: 29 April 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2017.07.020
Navier-Stokes equationsunstructured gridfinite volume schemeentropy stabilitywall boundary condition
Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15) Navier-Stokes equations (35Q30) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Related Items
An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. I: Theory and numerical verification, A New Thermodynamically Compatible Finite Volume Scheme for Magnetohydrodynamics, An entropy stable \(h/p\) non-conforming discontinuous Galerkin method with the summation-by-parts property, Nonlinear entropy stable Riemann solver with heuristic logarithmic pressure augmentation for supersonic and hypersonic flows, On the entropy conserving/stable implicit DG discretization of the Euler equations in entropy variables, Stability issues of entropy-stable and/or split-form high-order schemes. Analysis of linear stability, A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics, A new family of thermodynamically compatible discontinuous Galerkin methods for continuum mechanics and turbulent shallow water flows
Uses Software
Cites Work
- On limiting for higher order discontinuous Galerkin method for 2D Euler equations
- An entropy stable finite volume scheme for the equations of shallow water magnetohydrodynamics
- Entropy stable wall boundary conditions for the three-dimensional compressible Navier-Stokes equations
- Viscous computations using a direct solver
- Affordable, entropy-consistent Euler flux functions. II: Entropy production at shocks
- Adaptive mesh generation for viscous flows using Delaunay triangulation
- A new finite element formulation for computational fluid dynamics. I: Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics
- Transonic flow simulations using an upstream centered scheme of Godunov in finite elements
- Approximate Riemann solvers, parameter vectors, and difference schemes
- On the symmetric form of systems of conservation laws with entropy
- Systems of conservation laws of mixed type
- Low-dissipative high-order shock-capturing methods using characteristic-based filters
- A grid generation and flow solution method for the Euler equations on unstructured grids
- High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
- The use of characteristic boundary conditions for the Navier-Stokes equations
- Entropy stable schemes for initial-boundary-value conservation laws
- Finite volume discretization of heat equation and compressible Navier-Stokes equations with weak Dirichlet boundary condition on triangular grids
- Affordable, entropy conserving and entropy stable flux functions for the ideal MHD equations
- Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations
- Entropy stable shock capturing space-time discontinuous Galerkin schemes for systems of conservation laws
- 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
- Strong Stability-Preserving High-Order Time Discretization Methods
- Entropy Stable Finite Volume Scheme for Ideal Compressible MHD on 2-D Cartesian Meshes
- Arbitrarily High-order Accurate Entropy Stable Essentially Nonoscillatory Schemes for Systems of Conservation Laws
- Entropy Stable Spectral Collocation Schemes for the Navier--Stokes Equations: Discontinuous Interfaces
- Chebfun: A New Kind of Numerical Computing
- Stable Boundary Conditions and Difference Schemes for Navier–Stokes Equations
- Energy-Preserving and Stable Approximations for the Two-Dimensional Shallow Water Equations
- Energy Preserving and Energy Stable Schemes for the Shallow Water Equations
- Riemann Solvers, the Entropy Condition, and Difference
- The Numerical Viscosity of Entropy Stable Schemes for Systems of Conservation Laws. I
- Incompletely Parabolic Problems in Fluid Dynamics
- Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems
- A Stable Penalty Method for the Compressible Navier–Stokes Equations: I. Open Boundary Conditions
- Numerical Solution of the Navier-Stokes Equations for the Flow in a Two-Dimensional Cavity
- Kinetic Energy Preserving and Entropy Stable Finite Volume Schemes for Compressible Euler and Navier-Stokes Equations
- Entropy Stable Scheme on Two-Dimensional Unstructured Grids for Euler Equations
- Error Estimates for Finite Volume Approximations of Classical Solutions for Nonlinear Systems of Hyperbolic Balance Laws
- Well-Posed Boundary Conditions for the Navier--Stokes Equations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
