Dynamic adaptation method in gasdynamic simulations with nonlinear heat conduction |
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Authors: | P. V. Breslavskii V. I. Mazhukin |
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Affiliation: | (1) Institute of Mathematical Modeling, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia |
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Abstract: | A dynamic adaptation method is applied to gas dynamics problems with nonlinear heat conduction. The adaptation function is determined by the condition that the energy equation is quasi-stationary and the grid point distribution is quasi-uniform. The dynamic adaptation method with the adaptation function thus determined and a front-tracking technique are used to solve the model problem of a piston moving in a heat-conducting gas. It is shown that the results significantly depend on the thermal conductivity chosen. The numerical results obtained on a 40-node grid are compared with self-similar solutions to this problem. |
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Keywords: | gas dynamics problems dynamic grid adaptation method nonlinear heat conduction |
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