An elliptic method for construction of adaptive spatial grids
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I. A. Vaseva
, V. D. Liseikin , Yu. V. Likhanova and Yu. N. Morokov
Abstract
This paper contains some new results concerning the development of a universal method for the construction of spatial grids. The method is based on numerical solution (a stabilizing correction scheme) of inverted one-, two-, and three-dimensional Beltrami equations and diffusion equations with respect to the control metric. One- and two-dimensional equations are used for the generation of grids on the edges and faces of a domain. Using three-dimensional equations, a grid is constructed inside a domain. Examples of model adaptive spatial hexahedral and prismatic grids and a grid for the calculation of the propagation of a passive impurity in the atmosphere are demonstrated.
© de Gruyter 2009
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- Comparison of two- and three-dimensional steady flows of a homogeneous viscous incompressible fluid
- Numerical simulation of a turbulent mixing zone in a stably stratified medium using second-order mathematical models
- Shallow water equations on a movable bottom
- Simulation of the process of water-air low-temperature plasma jet outflowing from a half-closed volume into a flooded space
- Numerical simulation of a laser pulse self-focusing process in a dielectric based on the nonlinear Schrödinger equation
- An elliptic method for construction of adaptive spatial grids
Articles in the same Issue
- Comparison of two- and three-dimensional steady flows of a homogeneous viscous incompressible fluid
- Numerical simulation of a turbulent mixing zone in a stably stratified medium using second-order mathematical models
- Shallow water equations on a movable bottom
- Simulation of the process of water-air low-temperature plasma jet outflowing from a half-closed volume into a flooded space
- Numerical simulation of a laser pulse self-focusing process in a dielectric based on the nonlinear Schrödinger equation
- An elliptic method for construction of adaptive spatial grids