Abstract
IN the solution of problems in gas dynamics the set of gas-dynamic equations is closed by the equation of state. Since there is no analytic expression for the equation of state, in the solution of problems for air we can proceed as follows: either carry out calculations of thermodynamic functions in parallel with the solution of the basic problem or use a table of values of thermodynamic functions [l-31. The first method leads to a significant increase (of approximately one order) of computation time, while the use of tables in gasdynamic calculations on computers involves a number of difficulties in view of the limited volume of the operative store of the computer and the low speed of the supplementary store. Therefore, in recent years there has been a tendency to obtain an analytic approximation of the tables of thermodynamic functions [l-31. The present analytic approximations of the equation of state [4-71 require the introduction into the set of gasdynamic equations of one more unknown T, the temperature, which leads to an increase in computer time, but as a rule the main temperature is not an important parameter in calculations for non-viscous and non-heatconducting flows.
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