A parallel iterative solution method for systems of nonlinear hyperbolic equationsAn iterative algorithm suitable for the solution of a system of nonlinear hyperbolic partial differentiation equations in multiple dimensions is discussed. Current numerical methods for systems of nonlinear PDEs have limited parallelism due to strong coupling between the equations. This method decouples the PDEs by linearizing the convention coefficient for a space-time domain. This provides large grain parallelism. The linearization also allows the treatment of some terms in the equations as source terms, providing more freedom to choose from a wider variety of numerical methods. Smaller grain parallelism may be exploited within the solves for each equation. Thus, the method has potential for parallelism at several levels.
Document ID
19910048432
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Scroggs, Jeffrey S. (NASA Langley Research Center; ICASE Hampton, VA, United States)