Conservative front-tracking for inviscid compressible flow

Conference · Sat Aug 17 04:00:00 EDT 1991 · 10th Computational Fluid Dynamics Conference

DOI:https://doi.org/10.2514/6.1991-1599· OSTI ID:5912032

Bell, John B. ^[1]; Colella, Phillip ^[2]; Welcome, Michael L. ^[1]

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1. Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
2. Univ. of California, Berkeley, CA (United States)

In this paper we describe a front-tracking algorithm for modeling the propagation of discontinuous waves in two space dimensions. The algorithm uses a volume-of-fluid representation of the front in which the local frontal geometry is reconstructed from the state information on either side of the discontinuity and the Rankine-high-resolution relations. The algorithm is coupled to an unsplit second-order Godunov algorithm and is fully conservative, maintaining conservation at the front. The combination of a volume-of-fluid representation of the front and a fully conservative algorithm leads to a robust high-resolution method that easily accommodates changes in the topology of the front as well as kinks arising when a tracked front interacts with a captured discontinuity. The Godunov/tracking 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. An example showing the combination of tracking and local refinement is presented.

• Research Organization: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC); Defense Nuclear Agency (DNA); National Science Foundation (NSF); Defense Advanced Research Projects Agency (DARPA); US Army Research Office (ARO)
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 5912032
• Report Number(s): UCRL-JC--105251; CONF-910651--3; ON: DE91011534; CNN: DAAL03-88-K-0197; DMS-8919074; ACS-895822
• Conference Information: Journal Name: 10th Computational Fluid Dynamics Conference
• Country of Publication: United States
• Language: English

Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
97 MATHEMATICS AND COMPUTING
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
ALGORITHMS
COMPRESSIBLE FLOW
EQUATIONS
FINITE DIFFERENCE METHOD
FLUID FLOW
IDEAL FLOW
ITERATIVE METHODS
MATHEMATICAL LOGIC
NUMERICAL SOLUTION
RANKINE-HUGONIOT EQUATIONS
WAVE PROPAGATION