An implicit Lagrangian method for solving one- and two-dimensional gasdynamic equations
- Queens Univ., Kingston, Ontario (Canada)
- Univ. of Leeds (United Kingdom)
The gasdynamic equations are solved by using an implicit Lagrangian algorithm in one and two dimensions. The evolution equation of energy is replaced by the algebraic isentropic condition for each Lagrangian computational cell. The algorithm is essentially developed for isentropic flows but is also applicable to problems involving weak shocks where the entropy increase across the shock is fairly small. The algorithm can be used to predict shock tube problems provided that the entropy change of the shocked fluid is taken into account by incorporating the Rankine-Hugoniot condition. The present method does not require an added artificial viscosity since it contains a built-in mechanism to damp high-frequency disturbances behind shocks. The solution performance of the algorithm is assessed against the exact solution for two shock tube problems. Contact discontinuities are computed with infinite resolution (the number of cells over which the variation occurs is zero). Finally, the algorithm is applied to several gasdynamic problems. 28 refs., 19 figs., 1 tab.
- OSTI ID:
- 7036024
- Journal Information:
- Journal of Computational Physics; (United States), Vol. 110:1; ISSN 0021-9991
- Country of Publication:
- United States
- Language:
- English
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99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
FINITE DIFFERENCE METHOD
ALGORITHMS
GAS FLOW
COMPUTERIZED SIMULATION
PARTIAL DIFFERENTIAL EQUATIONS
NUMERICAL SOLUTION
MESH GENERATION
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
ITERATIVE METHODS
MATHEMATICAL LOGIC
SIMULATION
420400* - Engineering- Heat Transfer & Fluid Flow
990200 - Mathematics & Computers