Interactive method of variational grid generation

New Variational Method of Grid Generation with Prescribed Jacobian Determinant and Prescribed Curl

Adaptive grid generation is an active research topic for numerical solution of differential equations. In this paper, we propose a variational method which generates transformations with prescribed Jacobian determinant and curl. Then we use this transformation to achieve adaptive grid generation task.

Quadtree and Octree Grid Generation

Engineering analysis often involves the accurate numerical solution of boundary value problems in discrete form. Hierarchical quadtree (or octree) grid generation offers an efficient method for the spatial discretisation of arbitrary-shaped two- (or three-) dimensional domains. It consists of recursive algebraic splitting of sub-domains into quadrants (or cubes), leading to an ordered hierarchi...

On Efficiency of an Unstructured Grid Generation Method for Aerospace Applications

Equidistribution Method For Adaptive Grid Generation

The equidistribution method for constructing the mo tionless regular grids is considered in the present paper. The grids are adapted to the curvilinear boundaries of the domain and to the control function, which is a priori giv en in the domain. Using the general methodology, which is based on the equdistr ibution principle, the nonlinear equations of elliptic type are obtained for the definiti...

A Deformation Method for Moving Grid Generation

In recent years several new moving grid methods have shown promising potential for applications in the numerical solution of time dependent differential equations. In this paper, a deformation method is reviewed and some new developments related to the method are presented. In particular, the method is applied to grid morphing and adaptive grid generation on domains with moving boundary. The me...