The compatibility of a nine-point difference scheme is studied in this *** on this result, a new nine-point difference scheme is suggested for the nu-merical solution of nonlinear diffusion equation. The new scheme ke...
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The compatibility of a nine-point difference scheme is studied in this *** on this result, a new nine-point difference scheme is suggested for the nu-merical solution of nonlinear diffusion equation. The new scheme keeps the same advantages of the original one, i.e., simple in computation and easy to be imple-mented. Furthermore, the new scheme is more accurate than the original one if the mesh is non-smooth and high skewed, which is most important for Lagrange method in computational fluid dynamics.
A pressure weighted method is proposed for numerical solution of the momentum equation in 2D Lagrangian hydrodynamic equations with heat conduction over quadrilateral mesh. It is equivalent to the usual circuit integr...
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A pressure weighted method is proposed for numerical solution of the momentum equation in 2D Lagrangian hydrodynamic equations with heat conduction over quadrilateral mesh. It is equivalent to the usual circuit integral method when the mesh is regular. However, when the mesh deforms, it has some advantages over the circuit integral method. It is more accurate and can hold back the unphysical distortion of the Lagrange mesh.
In this paper, a numerical method is developed for solving one-dimensional hyperbolic system of conservation laws by the Taylor-Galerkin finite element method. The scheme is obtained by solving conservation equations ...
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In this paper, a numerical method is developed for solving one-dimensional hyperbolic system of conservation laws by the Taylor-Galerkin finite element method. The scheme is obtained by solving conservation equations associated HamiltonJacobi equations. The scheme has the TVD-like property under the uniform meshes. Numerical examples are given.
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