Parallelizing an Algorithm of Charles S. Peskin for Describing Incompressible Flow of a Fluid, Coupled to an Elastic Membrane (Classic Reprint) - Tapa blanda

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Excerpt from Parallelizing an Algorithm of Charles S. Peskin for Describing Incompressible Flow of a Fluid, Coupled to an Elastic Membrane

Charles P. Peskin has developed [Pes] a serial algorithm for simulation of incompressible flow of a fluid coupled to an elastic membrane and has suggested ways of parallelizing this algorithm [UCN18, UCN19, UCN 20]. Note that serial simulation of one pulsation in the 2-D model of blood flow through heart valves consumes about one hour of CDC-6600 CPU time. Essential speed-up of these computations is vitally important for further study and for the extension to the 3-D case.

The present note describes a simplified 2-D version of this algorithm implemented as a parallel FORTRAN program for the "NYU-Ultracomputer" [UCN 40], an asynchronous shared memory parallel machine. Note that these simplifications mostly affected the initialization part of the program concerned with the representation of the membrane. In our simplified version the membrane was a stretched ellipse, whereas in the realistic version it represents the heart. The most time consuming "physics" of the simulation was practically untouched. Parallel execution of this program was obtained using simulators [UCN 12, UCN 28].

The algorithm is the iterative repetition of a cycle consisting of recomputing position of the membrane and fluid velocity for successive descrete times.

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