Adaptive Cartesian grid methods for representing geometry in inviscid compressible flow

Conference · Thu Jul 01 04:00:00 EDT 1993

OSTI ID:10166045

Pember, R B; Bell, J B; Crutchfield, W Y; Welcome, M L ^[1]; Colella, P ^[2]

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1. Lawrence Livermore National Lab., CA (United States)
2. California Univ., Berkeley, CA (United States)

In this paper we describe a Cartesian grid algorithm for modeling time-dependent compressible flow in complex geometry. In this approach problem geometry is treated as an interface embedded in a regular Cartesian mesh. The discretization near the embedded boundary is based on a volume-of-fluid approach with a redistribution procedure to avoid time-step restrictions arising from small cells where the boundary intersects the mesh. The algorithm is coupled to an unsplit second-order Godunov algorithm and is fully conservative, maintaining conservation at the boundary. The Godunov/Cartesian grid integration scheme is coupled to a local adaptive mesh refinement algorithm that selectively refines regions of the computational grid to achieve a desired level of accuracy. Examples showing the results of the combined Cartesian grid/local refinement algorithm for both two- and three-dimensional flows are presented.

• Research Organization: Lawrence Livermore National Lab., CA (United States)
• Sponsoring Organization: USDOE, Washington, DC (United States); Department of Defense, Washington, DC (United States); National Science Foundation, Washington, DC (United States)
• DOE Contract Number: W-7405-ENG-48; FG03-92ER25140
• OSTI ID: 10166045
• Report Number(s): UCRL-JC--113851; CONF-930714--1; ON: DE93016430; CNN: Grant DMS-8919074; Gant ACS-8958522; Agreement IACRO 93-817
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400
99 GENERAL AND MISCELLANEOUS
990200
ALGORITHMS
COMPRESSIBLE FLOW
GEOMETRY
HEAT TRANSFER AND FLUID FLOW
IDEAL FLOW
ITERATIVE METHODS
MATHEMATICS AND COMPUTERS
NUMERICAL SOLUTION
TIME DEPENDENCE