-
Chapter and Conference Paper
A Nonlinear Flux Approximation Scheme for the Viscous Burgers Equation
We a nonlinear flux approximation for the discretization of the Burgers equation. We derive the numerical flux function from a local two-point boundary value problem (BVP), which results in a nonlinear...
-
Chapter and Conference Paper
A New Discretization Method for the Convective Terms in the Incompressible Navier-Stokes Equations
In this contribution we present the use of local one-dimensional boundary value problems (BVPs) to compute the interface velocities in the convective terms of the incompressible Navier-Stokes equations. This t...
-
Chapter and Conference Paper
Fix for Solution Errors near Interfaces in Two-Fluid Flow Computations
A finite-volume method is considered for the computation of flows of two compressible, immiscible fluids at very different densities. A level-set technique is employed to distinguish between the two fluids. A ...
-
Chapter and Conference Paper
Numerical Solution of Steady Free-Surface Navier-Stokes Flow
The usual time integration approach for solving steady viscous free-surface flow problems has several drawbacks. We propose an efficient iterative method, which relies on a so-called quasi free-surface conditi...
-
Chapter and Conference Paper
Monotone, higher-order accurate, multi-dimensional upwinding
-
Chapter and Conference Paper
Multi-D Upwinding and Multigridding for Steady Euler Flow Computations
Multi-dimensional upwind discretizations for the steady Euler equations are studied, with the emphasis on both a good accuracy and a good efficiency. The discretizations consist of a one-dimensional Riemann so...
-
Chapter
A Non-Linear Multigrid Method for the Steady Euler Equations
Higher-order accurate Euler-flow solutions are presented for some airfoil test cases. Second-order accurate solutions are computed by an Iterative Defect Correction process. For two test cases even higher accu...