Convergence study of an implicit multidomain approximation for the compressible Euler equations

DOI10.1016/0045-7930(95)00037-2zbMath0869.76060OpenAlexW2067202599MaRDI QIDQ2564643

Zi-Niu Wu

Publication date: 11 September 1997

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7930(95)00037-2

zbMATH Keywords

transonic flowexplicit matching conditionsgrid overlappinghybrid initial-boundary value problemimplicit dissipative difference schemesquasi-one-dimensional supersonic flow in ductsingle and two-element airfoils

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (7)

An implicit centered scheme for steady and unsteady incompressible one- and two-phase flows ⋮ Grid overlapping for implicit parallel computation of compressible flows ⋮ Most unstable waves of a stagnant planar liquid film blown by a high speed viscous gas with a Blasius velocity profile ⋮ Transmission of a slowly moving shock across a nonconservative interface ⋮ Review of numerical computation of compressible flows with artificial interfaces ⋮ Efficient parallel method for implicit upwind schemes approximating the Euler equations in gas dynamics. ⋮ A high-resolution procedure for Euler and Navier-Stokes computations on unstructured grids

Uses Software

• CMPGRD

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An implicit, conservative, zonal-boundary scheme for Euler equation calculations
• Composite overlapping meshes for the solution of partial differential equations
• On the use of composite grid schemes in computational aerodynamics
• A conservative treatment of zonal boundaries for Euler equation calculations
• Steady shock tracking and Newton's method applied to one-dimensional duct flow
• Stability analysis of numerical boundary conditions and implicit difference approximations for hyperbolic equations
• Fully implicit shock tracking
• The choice of numerical boundary conditions for hyperbolic systems
• A down-stream boundary procedure for the Euler equations
• Global and local remeshing algorithms for compressible flows
• A finite difference solution of the Euler equations on non-body-fitted Cartesian grids
• Conservative and non-conservative interpolation between overlapping grids for finite volume solutions of hyperbolic problems
• The influence of open boundary conditions on the convergence to steady state for the Navier-Stokes equations
• Stable conservative multidomain treatments for implicit Euler solvers
• Implicit methods of second-order accuracy for the Euler equations
• Euler calculations for multielement airfoils using Cartesian grids
• Steady State Computations for Wave Propagation Problems
• On Conservation at Grid Interfaces
• Scheme-Independent Stability Criteria for Difference Approximations of Hyperbolic Initial-Boundary Value Problems. II
• The Convergence Rate for Difference Approximations to General Mixed Initial-Boundary Value Problems
• Stability Theory of Difference Approximations for Mixed Initial Boundary Value Problems. II
• The $LZ$-Algorithm to Solve the Generalized Eigenvalue Problem
• Error Analysis of Finite Difference Schemes Applied to Hyperbolic Initial Boundary Value Problems
• Uniqueness of Steady-State Solutions for Difference Equations on Overlapping Grids

This page was built for publication: Convergence study of an implicit multidomain approximation for the compressible Euler equations