Adaptive Cartesian grid methods for representing geometry in inviscid compressible flow

Conference · Fri Jan 01 00:00:00 EST 1993

OSTI ID:6196303

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; USDOD; National Science Foundation (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
• Resource Relation: Conference: 11. international computational fluid dynamics conference, 28th thermophysics conference and 23d fluid dynamics, plasma dynamics and laser conference, Orlando, FL (United States), 5-7 Jul 1993
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
COMPRESSIBLE FLOW
NUMERICAL SOLUTION
ALGORITHMS
GEOMETRY
IDEAL FLOW
ITERATIVE METHODS
TIME DEPENDENCE
CALCULATION METHODS
FLUID FLOW
MATHEMATICAL LOGIC
MATHEMATICS
420400* - Engineering- Heat Transfer & Fluid Flow
990200 - Mathematics & Computers