Sentence examples for moving mesh source from inspiring English sources

A moving mesh source term is derived from the geometric conservation law and physical conservation laws on arbitrarily moving meshes.

A moving mesh source term derived directly from the geometric conservation law is incorporated into the discrete equations to ensure the recovery of uniform flow while the mesh is moving.

The significance and effectiveness of the moving mesh source term regarding uniform flow preservation is demonstrated and also compared to a different ALE formulation without such a source term.

This chapter focuses on the use of an Arbitrary Lagrangian Eulerian method with moving mesh technique using an open source software, OpenFOAM.

where is the flow velocity vector, is the grid velocity of the moving mesh, Γ is the diffusion coefficient, Sφ is the source term of φ and ∂V is the boundary of the control volume V.

In this paper moving mesh methods are used to simulate the blowup in a reaction diffusion equation with traveling heat source.

In the simulation a new moving mesh algorithm is designed to deal with the difficulty caused by the delta function in the traveling heat source.

Moreover, the error for the moving mesh is smaller than that for fixed (uniform) mesh.

Both cases, with a uniform mesh and with a moving mesh, are tested.

The moving mesh function (x xi,t)) satisfies certain parabolic equations which are called moving mesh partial differential equations (MMPDEs).

Moving mesh partial differential equations (MMPDEs) are used in the MMPDE moving mesh method to generate adaptive moving meshes for the numerical solution of time dependent problems.