A Control Volume Technique Based on Integrated RBFNs for the Convection-Diffusion Equation

作者：Mai Duy N^*; Tran Cong T

来源：Numerical Methods for Partial Differential Equations, 2010, 26(2): 426-447.

DOI：10.1002/num.20444

• control volumes
• convection-diffusion equations
• integrated radial basis function networks

This article reports a new high-order control-volume discretization for the convection-diffusion equation in one and two dimensions. Diffusive fluxes at the faces of a control volume and other terms embracing the unknown field variable are all approximated using one-dimensional integrated radial-basis-function networks; line integrals involving these fluxes and other integrals are evaluated using a high-order numerical integration scheme. The accuracy of the proposed technique is investigated numerically through the solution of several linear and nonlinear test problems, including a benchmark thermally driven cavity flow. High-order convergence solution, are obtained.

• 出版日期2010-3