Adaptive Cartesian grid methods for representing geometry in inviscid compressible flow
- Lawrence Livermore National Lab., CA (United States)
- 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:
- DOE; DOD; NSF; 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:
- 6196303
- Report Number(s):
- UCRL-JC-113851; CONF-930714--1; ON: DE93016430; CNN: DMS-8919074; Gant ACS-8958522; Agreement IACRO 93-817
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
420400* -- Engineering-- Heat Transfer & Fluid Flow
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
ALGORITHMS
CALCULATION METHODS
COMPRESSIBLE FLOW
FLUID FLOW
GEOMETRY
IDEAL FLOW
ITERATIVE METHODS
MATHEMATICAL LOGIC
MATHEMATICS
NUMERICAL SOLUTION
TIME DEPENDENCE