Prof. Atsushi Suzuki is the assistant professor of Kyushu University in Japan and also visiting researcher at Czech Technical University in Prague.

Abstract: Finite element method has an advantage in dealing with flow problem with complex domain using unstructured mesh. For computation of convection dominant flow, finite element method also requires some upwind technique as well as finite different method and finite volume method. In this talk, two schemes of different kinds for 3-D convection problem will be compared with numerical results in geophysical application. The first one is Streamline Upwind Petrov Galerkin (SUPG) method, which consists of additional element-wise stabilization terms to the weak form. The second one is Characteristic Galerkin method, which is based on discretization of the material derivative. Mathematical properties with advantages and drawbacks of two schemes and some technical details in 3-D implementation are described. Numerical results of thermal Boussinesque fluid of Earth's mantle convection problem will be shown.

More information: RNDr. Klára Bezpalcová, Ph.D.