Author(s)

B. Šarler

Abstract

Towards a mesh-free computation of transport phenomena Bozidar Sarler Laboratory for Fluid Dynamics and Thermodynamics, Faculty of Mechanical Engineering, University of Ljubljana, SI-1000 Ljubljana, Slovenia Abstract This paper formulates a computational procedure based on the Trefftz method for the solution of nonlinear transport phenomena. This new unified approach is particularly important when solving coupled, nonlinear, inho- mogenous, anisotropic, multiphase, and multifield heat and mass transfer problems. Physical system represents the general transport equation, stand- ing for a broad spectra of mass, energy, momentum, and species transfer problems. This equation is cast into non-linear Poisson form and expanded with respect to the transport variable. Fully implicit time-discretization is used. The particular solution method is applied as a general solution framework. The solution of the inhomogenous part is based on the radial basis function global approximation, and the

Keywords