Numerical investigation of the Euler equations by means of wave digital filters

A fluid dynamic system can be described by nonlinear partial differential equations (PDEs). Well suited for simulation purposes is a discrete passive dynamic system, which can be found using principles known from the theory of multidimensional (MD) wave digital filters (WDF). All major features of the original physical system (e.g. massive parallelism, local interdependencies, MD-passivity etc.) are transferred to the numerical integration of the PDEs. The present paper shows the application of the algorithm to the so-called Euler equations. It starts from the PDEs governing the system and finally shows experimental results from computer simulations