162 1994 Björn Sjögreen bjorns@tdb.uu.se Numerical Computation of Three Dimensional Detonation Waves on Parallel Computers Abstract: The inviscid Euler equations for compressible fluid flow in three space dimensions are solved. One chemical reaction is taking place inside the fluid. A detonation wave solution, propagating in a square channel is considered. The equations are solved using a modern shock capturing difference method on a parallel computer. A new class of split Runge-Kutta methods for time integration are introduced. Computed solutions in two and three space dimensions are presented. The implementation on a parallel computer is discussed.