MOVGRD: Adaptive Moving Grid Solver for time-dependent PDEs in 1D

Problem class:

Systems of time-dependent partial differential equations in one space-dimension having solutions with steep gradients in space and time

Method:

Moving-grid method based on a Lagrangian description of the PDE and a smoothed-equidistribution principle to define the grid positions at each time-level. The spatial part of the user-defined PDE is automatically discretized using a second-order discretization method.

Code:

Interface routines implementing the above; to be coupled to a standard implicit time-integrator.

Language:

Fortran 77

Published as:

Algorithm 731, A Moving-Grid Interface for Systems of One-Dimensional Time-Dependent Partial Differential Equations
J.G. Blom and P.A. Zegeling
ACM Trans. Math. Softw., Vol. 20, No. 2, pp. 194-214 (1994).

Further reference:

A Moving-Grid Method for One-Dimensional PDEs based on the Method of Lines
J.G. Verwer, J.G. Blom, R.M. Furzeland and P.A. Zegeling
in: Adaptive Methods for Partial Differential Equations, eds. J.E. Flaherty, P.J. Paslow, M.S. Shephard and J.D. Vasilakis, SIAM, Philadelphia, pp. 160-175 (1989).

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