A Godunov-type scheme for the isentropic model of a fluid flow in a nozzle with variable cross-section
From MaRDI portal
Publication:299689
DOI10.1016/j.amc.2015.01.024zbMath1338.76084OpenAlexW2067146875MaRDI QIDQ299689
Publication date: 22 June 2016
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2015.01.024
Godunov-type schemeRiemann solvercross-sectionhyperbolic conservation lawfluid in a nozzlenonconservative
Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)
Related Items
The resonance behavior for the coupling of two Aw-Rascle traffic models ⋮ The Riemann problem for the nonisentropic Baer-Nunziato model of two-phase flows ⋮ Building a Godunov-type numerical scheme for a model of two-phase flows ⋮ Riemann problem for van der Waals fluids in nozzle with cross-sectional jump ⋮ A well-balanced van Leer-type numerical scheme for shallow water equations with variable topography ⋮ A Well-Balanced Scheme for Euler Equations with Singular Sources ⋮ A well-balanced finite volume scheme based on planar Riemann solutions for 2D shallow water equations with bathymetry ⋮ The Riemann problem for a spray model ⋮ Computing algorithms in resonant regime for a two-phase flow model ⋮ Well-balanced and positivity-preserving Roe-type numerical scheme for the model of fluid flows in a nozzle with variable cross-section ⋮ The resonant cases and the Riemann problem for a model of two-phase flows ⋮ Constructing a Godunov-type scheme for the model of a general fluid flow in a nozzle with variable cross-section ⋮ Construction of a low Mach finite volume scheme for the isentropic Euler system with porosity ⋮ The Riemann problem for the shallow water equations with horizontal temperature gradients ⋮ A van Leer-type numerical scheme for the model of a general fluid flow in a nozzle with variable cross section ⋮ Building a van Leer-type numerical scheme for a model of two-phase flows ⋮ The Riemann problem with phase transitions for fluid flows in a nozzle ⋮ Godunov-type numerical scheme for the shallow water equations with horizontal temperature gradient ⋮ Well-balanced numerical schemes for shallow water equations with horizontal temperature gradient ⋮ Well-balanced path-conservative central-upwind schemes based on flux globalization
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A phase decomposition approach and the Riemann problem for a model of two-phase flows
- A hybrid algorithm for the Baer-Nunziato model using the Riemann invariants
- Numerical approximation for a Baer-Nunziato model of two-phase flows
- A Godunov-type method for the shallow water equations with discontinuous topography in the resonant regime
- Comparison of Roe-type methods for solving the two-fluid model with and without pressure relaxation
- A multiphase Godunov method for compressible multifluid and multiphase flows
- The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. I: The scalar case
- A well-balanced flux-vector splitting scheme designed for hyperbolic systems of conservation laws with source terms
- The Riemann problem for a class of resonant hyperbolic systems of balance laws
- Finite volume schemes with equilibrium type discretization of source terms for scalar conservation laws
- Definition and weak stability of nonconservative products
- A robust numerical method for approximating solutions of a model of two-phase flows and its properties
- A Godunov-type method for the seven-equation model of compressible two-phase flow
- Numerical treatment of nonconservative terms in resonant regime for fluid flows in a nozzle with variable cross-section
- The Riemann problem for the shallow water equations with discontinuous topography
- Exact solution of the Riemann problem for the shallow water equations with discontinuous bottom geometry
- The Riemann problem and a high-resolution Godunov method for a model of compressible two-phase flow
- The Riemann problem for fluid flows in a nozzle with discontinuous cross-section
- The Riemann problem for the one-dimensional, free-surface shallow water equations with a bed step: theoretical analysis and numerical simulations
- Relaxation and numerical approximation of a two-fluid two-pressure diphasic model
- The Riemann Problem for a Nonisentropic Fluid in a Nozzle with Discontinuous Cross-Sectional Area
- A Riemann problem in gas dynamics with bifurcation
- Nonlinear Resonance in Systems of Conservation Laws
- Analysis and Approximation of Conservation Laws with Source Terms
- A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows
- Equilibrium schemes for scalar conservation laws with stiff sources
- Convergence of the $2 \times 2$ Godunov Method for a General Resonant Nonlinear Balance Law
- A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations
- Numerical Solutions to Compressible Flows in a Nozzle with Variable Cross-section