The use of characteristic boundary conditions for the Navier-Stokes equations

DOI10.1016/0045-7930(95)00006-XzbMath0845.76075OpenAlexW2042993735MaRDI QIDQ1912877

Jan Nordström

Publication date: 22 September 1996

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

Full work available at URL: https://doi.org/10.1016/0045-7930(95)00006-x

zbMATH Keywords

convergenceconstant coefficients matricesstrongly stable semi-discrete problemstrongly well-posed continuous problem

Mathematics Subject Classification ID

Related Items (22)

Entropy stable boundary conditions for the Euler equations ⋮ Summation by parts operators for finite difference approximations of second derivatives ⋮ Well-posedness, stability and conservation for a discontinuous interface problem ⋮ A stable high-order finite difference scheme for the compressible Navier-Stokes equations, far-field boundary conditions ⋮ Least-squares finite element formulations for viscous incompressible and compressible fluid flows ⋮ Energy stable boundary conditions for the nonlinear incompressible Navier–Stokes equations ⋮ Duality based boundary conditions and dual consistent finite difference discretizations of the Navier-Stokes and Euler equations ⋮ Review of summation-by-parts schemes for initial-boundary-value problems ⋮ Nonreflecting boundary conditions for one-dimensional problems of viscous gas dynamics ⋮ Stable interface conditions for discontinuous Galerkin approximations of Navier-Stokes equations ⋮ Robust boundary conditions for stochastic incompletely parabolic systems of equations ⋮ Nonlinear boundary conditions for initial boundary value problems with applications in computational fluid dynamics ⋮ Improved boundary conditions for viscous, reacting, compressible flows. ⋮ Local absorbent boundary condition for nonlinear hyperbolic problems with unknown Riemann invariants ⋮ On the impact of boundary conditions on dual consistent finite difference discretizations ⋮ An entropy stable finite volume scheme for the two dimensional Navier-Stokes equations on triangular grids ⋮ A stable and high-order accurate conjugate heat transfer problem ⋮ High-order finite difference methods, multidimensional linear problems, and curvilinear coordinates ⋮ Finite volume methods, unstructured meshes and strict stability for hyperbolic problems ⋮ Boundary and interface conditions for high-order finite-difference methods applied to the Euler and Navier-Stokes equations ⋮ Numerical solution of problems on unbounded domains. A review ⋮ Energy decay of vortices in viscous fluids: an applied mathematics view

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• Steady State Computations for Wave Propagation Problems
• Absorbing Boundary Conditions for the Linearized Euler Equations in 2-D
• Artificial Boundary Conditions for Incompletely Parabolic Perturbations of Hyperbolic Systems
• The Convergence Rate for Difference Approximations to Mixed Initial Boundary Value Problems
• Initial boundary value problems for incompletely parabolic systems
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
• Radiation boundary conditions for acoustic and elastic wave calculations
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