Finite Volume Element Method For Three-dimensional Stationary Stokes Equations And Application On Tiger Glacier

In this test, we solve three-dimensional stationary Stokes equations using fi-nite volume element method. Trial function space of velocity and pressure is linear and test function space is constant. We use tetrahedron partition and hexahedron partition for stationary Stokes equations on three-dimensional region. Dual parti-tion on two-dimensional triangular has varied kinds and the most universal kind is BB dual partition. Based on the idea of BB dual partition on triangular we construct BB dual partition on tetrahedron and the dual partition is applied for arbitrary tetrahedron. While we choose center link dual partition on hexahedron. We take examples to obtain absolute error and relative error of numerical solution and exact solution on tetrahedron and hexahedron partition. From the example the result of tetrahedron is better than the hexahedron’s.Stokes equations are applied in kinds of glacier models and the result of tetrahedron is better than the hexahedron’s on theory and numerical calculation. Based on the fact, we use tetrahexon partition for solving velocity and pressure of irregular actual glacier-Tiger Glacier. The key is tetrahedron partition. Partition points and elements datum is obtained by setting poits and height on the two-dimensional figure with height colors.