The dual reciprocity boundary element method (DRBEM) with multiquadric radial basis function for coupled burgers’ equations

摘要

There are three main objectives of this work; to apply the Dual Reciprocity Boundary Element Method (DRBEM) to problems under the Burgers’ equations category, to search for an optimal parameter when utilizing the Multiquadric Radial Basis Function (MQRBF) and to the numerical effect on final solution when increasing the Reynolds number(Re). Three examples described by Burgers’ equations in two dimensions were selected and it was found that DRBEM can perform well with MQRBF varies between 1.1 and 1.5. Also, it was demonstrated by the examples that the solutions remained in good quality when increasing the Reynolds number.