SOLVING THE RIEMANN PROBLEM FOR POROUS AND SOLID MEDIA GOVERNED BY TWO-TERM EQUATIONS OF STATE

G. P. Prokopov
Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1982. Вып.2. С. 32-40.

      The paper studies an iteration algorithm used to compute a configuration encountered when solving the Riemann problem at an interface between two media governed by given two-term equations of state having their own parameters on either interface side, or in the case where one of the media is porous (or both are) while being governed by two-term equations of state, after the pores were shock-collapsed. Several factors associated with initial approximation setting and removing the features that may considerably slow down the iteration convergence, are examined. Evaluations are made to assure achieving a user-specified accuracy.