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Chapter and Conference Paper
Nonlinear Flux Approximation Scheme for Burgers Equation Derived from a Local BVP
We present a novel flux approximation scheme for the viscous Burgers equation. The numerical flux is computed from a local two-point boundary value problem for the stationary equation and requires the iterativ...
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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...
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Chapter and Conference Paper
A Sub-cell Discretization Method for the Convective Terms in the Incompressible Navier-Stokes Equations
In this contribution we present a sub-cell discretization method for the computation of the interface velocities involved in the convective terms of the incompressible Navier-Stokes equations. We compute an in...
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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...
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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 ...
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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...
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Chapter and Conference Paper
Dynamic process composition and communication patterns in irregularly structured applications
In this paper we describe one experiment in which a new coordination language, called Manifold, is used to restructure an existing sequential Fortran code from computational fluid dynamic (CFD), into a parallel a...
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Chapter and Conference Paper
3D Multigrid on Partially Ordered Sets of Grids
In this paper we discuss different possibilities of using partially ordered sets of grids in multigrid algorithms. Because, for a classical sequence of regular grids the number of degrees of freedom grows much...
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Chapter and Conference Paper
Monotone, higher-order accurate, multi-dimensional upwinding
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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...
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Chapter and Conference Paper
A nonlinear multigrid method for the efficient solution of the steady Euler equations
An efficient iterative method has been developed for the accurate solution of the non-isenthalpic steady Euler equations for inviscid flow.