An Immersed Boundary Method with Formal Second-Order Accuracy and Reduced Numerical Viscosity |
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Authors: | Ming-Chih Lai Charles S. Peskin |
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Affiliation: | Courant Institute of Mathematical Sciences, 251 Mercer Street, New York, New York, 10012 |
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Abstract: | A formally second-order accurate immersed boundary method is presented and tested in this paper. We apply this new scheme to simulate the flow past a circular cylinder and study the effect of numerical viscosity on the accuracy of the computation by comparing the numerical results with those of a first-order method. The numerical evidence shows that the new scheme has less numerical viscosity and is therefore a better choice for the simulation of high Reynolds number flows with immersed boundaries. |
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