Well-balanced schemes for the Euler equations with gravitation
From MaRDI portal
Publication:348690
DOI10.1016/j.jcp.2013.11.028zbMath1349.76345OpenAlexW1976632273MaRDI QIDQ348690
Siddhartha Mishra, Roger Käppeli
Publication date: 5 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2013.11.028
Finite volume methods applied to problems in fluid mechanics (76M12) Meteorology and atmospheric physics (86A10) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Related Items (77)
Well-balanced discontinuous Galerkin scheme for \(2 \times 2\) hyperbolic balance law ⋮ High order direct arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes ⋮ A full-field simulation methodology for sonic boom modeling on adaptive Cartesian cut-cell meshes ⋮ Well-balanced finite volume schemes for nearly steady adiabatic flows ⋮ Well-balanced high-order finite difference methods for systems of balance laws ⋮ Simple high order well-balanced finite difference WENO schemes for the Euler equations under gravitational fields ⋮ An all speed second order well-balanced IMEX relaxation scheme for the Euler equations with gravity ⋮ A Well-Balanced Scheme for the Euler Equations with Gravitation ⋮ Multidimensional approximate Riemann solvers for hyperbolic nonconservative systems. Applications to shallow water systems ⋮ Well-balanced discontinuous Galerkin methods for the Euler equations under gravitational fields ⋮ On conservative spatial discretizations of the barotropic quasi-gasdynamic system of equations with a potential body force ⋮ Godunov-type numerical methods for a model of granular flow ⋮ High order finite volume WENO schemes for the Euler equations under gravitational fields ⋮ On the energy dissipative spatial discretization of the barotropic quasi-gasdynamic and compressible Navier-Stokes equations in polar coordinates ⋮ Efficient GPU implementation of multidimensional incomplete Riemann solvers for hyperbolic nonconservative systems: applications to shallow water systems with topography and dry areas ⋮ Well-balanced finite difference WENO schemes for the ripa model ⋮ High-Order Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for Euler Equations with Gravitation on Unstructured Meshes ⋮ Finite volume methods for multi-component Euler equations with source terms ⋮ Direct arbitrary-Lagrangian-Eulerian finite volume schemes on moving nonconforming unstructured meshes ⋮ Finite volume scheme with local high order discretization of the hydrostatic equilibrium for the Euler equations with external forces ⋮ High order well-balanced conservative finite difference AWENO scheme with hydrostatic reconstruction for the Euler equations under gravitational fields ⋮ A well-balanced Runge-Kutta discontinuous Galerkin method for the Euler equations in isothermal hydrostatic state under gravitational field ⋮ Angular momentum preserving cell-centered Lagrangian and Eulerian schemes on arbitrary grids ⋮ High-order well-balanced methods for systems of balance laws: a control-based approach ⋮ Positivity-preserving well-balanced central discontinuous Galerkin schemes for the Euler equations under gravitational fields ⋮ A Very Easy High-Order Well-Balanced Reconstruction for Hyperbolic Systems with Source Terms ⋮ Well-balanced discontinuous Galerkin methods with hydrostatic reconstruction for the Euler equations with gravitation ⋮ A well-balanced scheme for the shallow-water equations with topography or Manning friction ⋮ A modified flux-wave formula for the solution of one-dimensional Euler equations with gravitational source term ⋮ High order structure-preserving arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for the Euler equations under gravitational fields ⋮ On high order positivity-preserving well-balanced finite volume methods for the Euler equations with gravitation ⋮ Stability of aerostatic equilibria in porous medium flows ⋮ Well-balanced central schemes for the one and two-dimensional Euler systems with gravity ⋮ Weak shock wave interactions in isentropic Cargo‐LeRoux model of flux perturbation ⋮ A semi-implicit finite volume scheme for blood flow in elastic and viscoelastic vessels ⋮ A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume / finite element scheme for the incompressible MHD equations ⋮ High order well-balanced positivity-preserving scale-invariant AWENO scheme for Euler systems with gravitational field ⋮ A family of well-balanced WENO and TENO schemes for atmospheric flows ⋮ A stochastic Galerkin method for first-order quasilinear hyperbolic systems with uncertainty ⋮ Structure-Preserving Finite-Element Schemes for the Euler-Poisson Equations ⋮ On multilevel Monte Carlo methods for deterministic and uncertain hyperbolic systems ⋮ Numerical solution of non-isothermal non-adiabatic flow of real gases in pipelines ⋮ Treating network junctions in finite volume solution of transient gas flow models ⋮ High order structure-preserving finite difference WENO schemes for MHD equations with gravitation in all sonic Mach numbers ⋮ Well-balanced adaptive compact approximate Taylor methods for systems of balance laws ⋮ A well-balanced semi-implicit IMEX finite volume scheme for ideal magnetohydrodynamics at all Mach numbers ⋮ Well-balanced schemes for the Euler equations with gravitation: conservative formulation using global fluxes ⋮ Some Case Studies in Environmental and Industrial Mathematics ⋮ Recasting an operator splitting solver into a standard finite volume flux-based algorithm. The case of a Lagrange-projection-type method for gas dynamics ⋮ High Order Well-Balanced Weighted Compact Nonlinear Schemes for the Gas Dynamic Equations under Gravitational Fields ⋮ High order well-balanced discontinuous Galerkin methods for shallow water flow under temperature fields ⋮ Arbitrary Order Finite Volume Well-Balanced Schemes for the Euler Equations with Gravity ⋮ Well-balanced finite difference weighted essentially non-oscillatory schemes for the Euler equations with static gravitational fields ⋮ A second-order, discretely well-balanced finite volume scheme for Euler equations with gravity ⋮ A well-balanced scheme for ten-moment Gaussian closure equations with source term ⋮ High order well-balanced finite volume methods for multi-dimensional systems of hyperbolic balance laws ⋮ Second Order Finite Volume Scheme for Euler Equations with Gravity which is Well-Balanced for General Equations of State and Grid Systems ⋮ Hamilton–Jacobi hydrodynamics of pulsating relativistic stars ⋮ A Well-Balanced Gas Kinetic Scheme for Navier-Stokes Equations with Gravitational Potential ⋮ High Order Discretely Well-Balanced Methods for Arbitrary Hydrostatic Atmospheres ⋮ Well-balanced nodal discontinuous Galerkin method for Euler equations with gravity ⋮ Reprint of: ``Finite volume methods for multi-component Euler equations with source terms ⋮ Reprint of: ``Direct arbitrary-Lagrangian-Eulerian finite volume schemes on moving nonconforming unstructured meshes ⋮ High order well-balanced finite difference WENO schemes for shallow water flows along channels with irregular geometry ⋮ Efficient high order accurate staggered semi-implicit discontinuous Galerkin methods for natural convection problems ⋮ Sensitivity parameter-independent characteristic-wise well-balanced finite volume WENO scheme for the Euler equations under gravitational fields ⋮ Well-balanced high-order finite volume methods for systems of balance laws ⋮ Well-Balanced Unstaggered Central Schemes for the Euler Equations with Gravitation ⋮ High-order well-balanced finite volume schemes for the Euler equations with gravitation ⋮ High order well-balanced discontinuous Galerkin methods for Euler equations at isentropic equilibrium state under gravitational fields ⋮ A Second Order Well-Balanced Finite Volume Scheme for Euler Equations with Gravity ⋮ Uniformly High-Order Structure-Preserving Discontinuous Galerkin Methods for Euler Equations with Gravitation: Positivity and Well-Balancedness ⋮ Well balanced finite volume schemes for shallow water equations on manifolds ⋮ Implicit and semi-implicit well-balanced finite-volume methods for systems of balance laws ⋮ High-Order Godunov-Type Scheme for Conservation Laws with Discontinuous Flux Function in Space ⋮ A Well Balanced Finite Volume Scheme for General Relativity ⋮ Scale-invariant multi-resolution alternative WENO scheme for the Euler equations
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Well balanced finite volume methods for nearly hydrostatic flows
- High-order well-balanced finite volume schemes for simulating wave propagation in stratified magnetic atmospheres
- Uniformly high order accurate essentially non-oscillatory schemes. III
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
- High order well-balanced WENO scheme for the gas dynamics equations under gravitational fields
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- High-order well-balanced finite volume WENO schemes for shallow water equation with moving water
- Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows
- The Riemann problem for fluid flows in a nozzle with discontinuous cross-section
- Strong Stability-Preserving High-Order Time Discretization Methods
- Computational Gasdynamics
- On the Choice of Wavespeeds for the HLLC Riemann Solver
- Finite Volume Methods for Hyperbolic Problems
- A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows
- A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations
- High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems
- Numerical Solutions to Compressible Flows in a Nozzle with Variable Cross-section
This page was built for publication: Well-balanced schemes for the Euler equations with gravitation
