DIFFERENCE METHODS AND THE EQUATIONS OF HYDRODYNAMICS

Finite difference approximations for the partial differential equations of hydrodynamics can be found by soft solution methods. Methods for finding soft solutions for the equations of one -dimensional flow with constant pressure are discussed, and the extension to more general cases and more space variables is made. A linear problem is analyzed, the soft solution yielding difference methods. Exact difference methods for nonlinear equations are obtained, and the cases for constant and timevariant pressure are examined. An example of onedimensional hydrodynamics with an adiabatic gas law shows that these difference equations can also be obtained from soft solutions. (D.C.W.)