Conservative front-tracking for inviscid compressible flow
Abstract
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.
- Authors:
-
- Lawrence Livermore National Lab., CA (USA)
- California Univ., Berkeley, CA (USA)
- Publication Date:
- Research Org.:
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOD; USDOE; National Science Foundation (NSF); Department of Defense, Washington, DC (USA); USDOE, Washington, DC (USA); National Science Foundation, Washington, DC (USA)
- OSTI Identifier:
- 5912032
- Report Number(s):
- UCRL-JC-105251; CONF-910651-3
ON: DE91011534; CNN: DAAL03-88-K-0197; DMS-8919074; ACS-895822
- DOE Contract Number:
- W-7405-ENG-48
- Resource Type:
- Conference
- 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
- Subject:
- 75 CONDENSED MATTER PHYSICS, 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
Citation Formats
Bell, J B, Welcome, M L, and Colella, P. Conservative front-tracking for inviscid compressible flow. United States: N. p., 1991.
Web. doi:10.2514/6.1991-1599.
Bell, J B, Welcome, M L, & Colella, P. Conservative front-tracking for inviscid compressible flow. United States. https://doi.org/10.2514/6.1991-1599
Bell, J B, Welcome, M L, and Colella, P. 1991.
"Conservative front-tracking for inviscid compressible flow". United States. https://doi.org/10.2514/6.1991-1599. https://www.osti.gov/servlets/purl/5912032.
@article{osti_5912032,
title = {Conservative front-tracking for inviscid compressible flow},
author = {Bell, J B and Welcome, M L and Colella, P},
abstractNote = {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.},
doi = {10.2514/6.1991-1599},
url = {https://www.osti.gov/biblio/5912032},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Thu Apr 04 00:00:00 EST 1991},
month = {Thu Apr 04 00:00:00 EST 1991}
}