Numerical analysis of a model of two phase compressible fluid flow
DOI10.1007/s10915-021-01624-7zbMath1489.35183arXiv2102.06668OpenAlexW3193696770MaRDI QIDQ1983567
Bangwei She, Eduard Feireisl, Madalina Petcu
Publication date: 10 September 2021
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.06668
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Strong solutions to PDEs (35D35) Compressible Navier-Stokes equations (76N06)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Weak-strong uniqueness for the isentropic compressible Navier-Stokes system
- A convergent FEM-DG method for the compressible Navier-Stokes equations
- Mathematical aspects of discontinuous Galerkin methods.
- Hydrodynamic limits: Some improvements of the relative entropy method
- The second law of thermodynamics and stability
- Stability and consistency of a finite difference scheme for compressible viscous isentropic flow in multi-dimension
- Convergence of a mixed finite element-finite volume scheme for the isentropic Navier-Stokes system via dissipative measure-valued solutions
- Error estimates for the implicit MAC scheme for the compressible Navier-Stokes equations
- Relative entropies, suitable weak solutions, and weak-strong uniqueness for the compressible Navier-Stokes system
- Upper and lower bounds for the Bregman divergence
- Weak and strong solutions to the nonhomogeneous incompressible Navier-Stokes-Cahn-Hilliard system
- Generalized solutions to models of compressible viscous fluids
- A phase field model for stem cell differentiation
- Discontinuous Galerkin Finite Element Approximation of the Cahn–Hilliard Equation with Convection
- A convergent numerical method for the Navier–Stokes–Fourier system
- DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
- Numerical Analysis of Compressible Fluid Flows
- Consistency, convergence and error estimates for a mixed finite element–finite volume scheme to compressible Navier–Stokes equations with general inflow/outflow boundary data
- Relative energy approach to a diffuse interface model of a compressible two‐phase flow
- Singular limits in thermodynamics of viscous fluids
- Incompressible, inviscid limit of the compressible Navier-Stokes system
This page was built for publication: Numerical analysis of a model of two phase compressible fluid flow