Accuracy of the Immersed Boundary Method in Fixed-Point Arithmetic

Abstract-- The immersed boundary (IB) method is an algorithm for simulating elastic structures immersed in a fluid. The IB method can be used, for example, to simulate blood flow in the heart. Even running on supercomputers, software implementations require on the order of seven CPU-days to simulate one heart beat. The IB method has significant, inherent, fine-grain parallelism available. This parallelism makes it a good candidate for implementation in hardware, such as a field-programmable gate array (FPGA). While floating-point arithmetic is possible on FPGAs, fixedpoint arithmetic is more efficient and takes less space to implement. This paper presents a study of the accuracy of a fixed-point implementation of the IB method.

• Type: Journal
• Year: 2010
• Where: CSC
• Authors: Gabor Ferencz, Eric Peskin, Charles Peskin
• Keywords: Applied Computing, CSC 2010, Field-programmable Gate Array, Fine-grain Parallelism, IB Method