Conservative front-tracking for inviscid compressible flow
- Lawrence Livermore National Lab., CA (USA)
- California Univ., Berkeley, CA (USA)
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-Hugoniot 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. 5 refs., 2 figs.
- Research Organization:
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
- Sponsoring Organization:
- USDOD; USDOE; National Science Foundation (NSF); Department of Defense, Washington, DC (USA); USDOE, Washington, DC (USA); National Science Foundation, Washington, DC (USA)
- 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
- Resource Relation:
- Conference: 10. AIAA computational fluid dynamics conference in conjunction with the 22nd AIAA fluid dynamics, plasma dynamics and lasers conference and the 26th AIIA thermophysics conference, Honolulu, HI (USA), 24-26 Jun 1991
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
SUPERCONDUCTIVITY AND SUPERFLUIDITY
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
COMPRESSIBLE FLOW
WAVE PROPAGATION
FINITE DIFFERENCE METHOD
ALGORITHMS
IDEAL FLOW
RANKINE-HUGONIOT EQUATIONS
EQUATIONS
FLUID FLOW
ITERATIVE METHODS
MATHEMATICAL LOGIC
NUMERICAL SOLUTION
640410* - Fluid Physics- General Fluid Dynamics
990200 - Mathematics & Computers