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FlexPDE can be configured to move the finite element mesh in time-dependent problems.
In order to do this, you must assign a VARIABLE as a surrogate for each coordinate you wish to modify. This specification uses the form
variable_name = MOVE ( coordinate_name )
This declaration assigns variable_name as a surrogate variable for the coordinate_name. You may subsequently assign EQUATIONS and boundary conditions to the surrogate variable in the normal way, and these equations and boundary conditions will be imposed on the values of the selected mesh coordinate at the computation nodes.
Example:
VARIABLES
U,V
Xm = MOVE(X)
See Moving Meshes later in this document and the Moving Meshes chapter in the User Guide.