E.A. Chadwick1
CMES-Computer Modeling in Engineering & Sciences, Vol.96, No.3, pp. 177-184, 2013, DOI:10.3970/cmes.2013.096.177
Abstract In boundary integral methods for Stokes flow, the far-field Green’s integral is usually taken to be zero without proof. However, this is not obviously the case, the reason being that Stokes flow is a near-field approximation and breaks down in the far-field. Here, we show that it is zero as expected by matching it to a far-field Green’s integral in Oseen flow. Hence, there are similarities to the matched asymptotic procedure matching a near-field Stokes flow to a far-field Oseen flow, except in this case a different and new procedure is required to deal with the Green’s integrals. In particular,… More >
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