Convergence of the marker-and-cell scheme for the semi-stationary compressible Stokes problem
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Publication:2229074
DOI10.1016/j.matcom.2016.10.003OpenAlexW2552321608MaRDI QIDQ2229074
David Maltese, Thierry Gallouet, Antonin Novotny, Raphaèle Herbin
Publication date: 19 February 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2016.10.003
Partial differential equations (35-XX) Calculus of variations and optimal control; optimization (49-XX)
Related Items
An exact solution for the semi-stationary compressible Stokes problem, Convergence and error estimates of a mixed discontinuous Galerkin-finite element method for the semi-stationary compressible Stokes system, Study of a New Asymptotic Preserving Scheme for the Euler System in the Low Mach Number Limit, Maximum error estimates of a MAC scheme for Stokes equations with Dirichlet boundary conditions, Asymptotic analysis of the RS-IMEX scheme for the shallow water equations in one space dimension
Cites Work
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- A convergent FEM-DG method for the compressible Navier-Stokes equations
- W\(^{1,q }\) stability of the Fortin operator for the MAC scheme
- The computation of compressible and incompressible recirculating flows by a non-iterative implicit scheme
- Solution of the implicitly discretized fluid flow equations by operator- splitting
- Compact sets in the space \(L^ p(0,T;B)\)
- Large amplitude variations for the density of a viscous compressible fluid.
- A projection method for low speed flows
- A unified method for computing incompressible and compressible flows in boundary-fitted coordinates
- A conservative pressure-correction method for flow at all speeds.
- Mathematical tools for the study of the incompressible Navier-Stokes equations and related models
- A semi-implicit method for resolution of acoustic waves in low Mach number flows
- Strong convergence to global solutions for multidimensional flows of compressible, viscous fluids with polytropic equations of state and discontinuous initial data
- Mathematical analysis of nonlinear models of petrol engineering
- Compactness of discrete approximate solutions to parabolic PDEs -- application to a turbulence model
- An extension of the MAC scheme to locally refined meshes: convergence analysis for the full tensor time-dependent Navier-Stokes equations
- On a nonlinear model for tumor growth: global in time weak solutions
- A viscoelastic model for avascular tumor growth
- A superlinearly convergent Mach-uniform finite volume method for the Euler equations on staggered unstructured grids
- Numerical calculation of almost incompressible flow
- A numerical fluid dynamics calculation method for all flow speeds
- Numerical approximation of the general compressible Stokes problem
- A convergent mixed method for the Stokes approximation of viscous compressible flow
- A Convergent Nonconforming Finite Element Method for Compressible Stokes Flow
- Convergence of a mixed method for a semi-stationary compressible Stokes system
- Convergence of the MAC Scheme for the Compressible Stokes Equations
- A convergent finite element-finite volume scheme for the compressible Stokes problem. Part I: The isothermal case
- Pressure method for the numerical solution of transient, compressible fluid flows
- Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
- An unconditionally stable finite element-finite volume pressure correction scheme for the drift-flux model
- A convergent finite element-finite volume scheme for the compressible Stokes problem. Part II: the isentropic case
- Convergence d'un schéma décentré amont sur un maillage triangulaire pour un problème hyperbolique linéaire
- Analysis of the upwind finite volume method for general initial- and boundary-value transport problems
- A convergent numerical method for the Navier–Stokes–Fourier system
- A Mach-uniform unstructured staggered grid method
- Singular limits in thermodynamics of viscous fluids
- Stability analysis of segregated solution methods for compressible flow