A fast BIE iteration method for an arbitrary body in a flow of incompressible inviscid fluid

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:237

Article

Scalia, Antonio²  Sumbatyan, Mezhlum A.¹  Popuzin, Vitaly² 

[1] So Fed Univ, Fac Math Mech & Comp Sci, Rostov Na Donu 344090, Russia

[2] Univ Catania, DMI, I-95125 Catania, CT, Italy

关键词: Boundary integral equations;    Iteration algorithm;    Toeplitz matrix;    Complex-shape objects;   

DOI  :  10.1016/j.cam.2012.06.020

来源: Elsevier

【 摘 要 】

The paper is concerned with the new iteration algorithm to solve boundary integral equations arising in boundary value problems of mathematical physics. The stability of the algorithm is demonstrated on the problem of a flow around bodies placed in the incompressible inviscid fluid. With a discrete numerical treatment, we approximate the exact matrix by a certain Toeplitz one and then apply a fast algorithm for this matrix, on each iteration step. We illustrate the convergence of this iteration scheme by a number of numerical examples, both for hard and soft boundary conditions. It appears that the method is highly efficient for hard boundaries, being much less efficient for soft boundaries. (C) 2012 Elsevier B.V. All rights reserved.

【 授权许可】

Free