An Immersed Boundary Method For
Simulating Compressible Viscous Flow In
Complex Geometries
Author(s)
B. Jastrow & F. Magagnato
Abstract
This paper presents an immersed boundary method combined with a wall-layer
approach implemented into an established flow solver. In the outer flow field,
the compressible Navier-Stokes equations are solved using an approximate
Riemann Solver whereas simplified boundary-layer equations are solved near the
wall. Turbulence is accounted for by the one-equation model of Spalart-Allmaras
in the outer flow region and by a mixing length eddy viscosity model with near
wall damping in the wall layer. Computations performed for various test cases
show good agreement with reference data found in literature.
Keywords: immersed boundary method, wall-layer model, compressible flow.
1 Introduction
Body-fitted grid generation for simulating flow in complex geometry can be very
cumbersome especially when using a block-structured solver. Therefore the
Cartesian-grid immersed boundary method (IBM) offers an interesting approach
since automatic mesh generation can be realized easily. Furthermore, due to
smoothness and orthogonality, Cartesian grids offer high accuracy and
efficiency.
In the IBM a complex geometry is immersed into a regular Cartesian grid.
The effect of the body on the flow is mimicked by the imposition of proper
boundary conditions that act as forcing conditions [1, 2].
Several applications of the IBM use a linear interpolation for setting the
boundary conditions as proposed in [1]. Their validity is therefore only given for
grids resolved down to Δ 1. For flow of high Reynolds number these
restrictions cannot be held in accordance with acceptable computing time. With
Keywords
immersed boundary method, wall-layer model, compressible flow.
Related Book
Other papers in this volume
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