A boundary element method for steady incompressible thermoviscous flow. (English) Zbl 0755.76058
Summary: A boundary element formulation is presented for moderate Reynolds number, steady, incompressible, thermoviscous flows. The governing integral equations are written exclusively in terms of velocities and temperatures, thus eliminating the need for the computation of any gradients. Furthermore, with the introduction of reference velocities and temperatures, volume modelling can often be confined to only a small portion of the problem domain, typically near obstacles or walls. The numerical implementation includes higher order elements, adaptive integration and multiregion capability. Both the integral formulation and implementation are discussed in detail. Several examples illustrate the high level of accuracy that is obtainable with the current method.
MSC:
| 76M15 | Boundary element methods applied to problems in fluid mechanics |
| 76D99 | Incompressible viscous fluids |
| 80A20 | Heat and mass transfer, heat flow (MSC2010) |
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