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Manuscript Title: Orthogonalization of discrete coordinates. | ||

Authors: C.W. Davies | ||

Program title: RECT | ||

Catalogue identifier: AAQW_v1_0Distribution format: gz | ||

Journal reference: Comput. Phys. Commun. 23(1981)427 | ||

Programming language: Fortran. | ||

Computer: CDC 7600. | ||

Operating system: SCOPE 2.1.5. | ||

RAM: 13K words | ||

Word size: 60 | ||

Keywords: General purpose, Plasma physics, Other numerical, Orthogonalization, Discrete orthogonal Coordinates, Boundary fitted, Waterbag methods, Stability. | ||

Classification: 4.12, 19.6. | ||

Nature of problem:A two-dimensional boundary fitted orthogonal coordinate mesh may be required initially in an Eulerian calculation or at each time step in a semi-Lagrangian or waterbag code. A procedure for orthogonalizing a non-orthogonal coordinate mesh is described which preserves one set of coordinates. The preserved coordinate lines may be open or closed. | ||

Solution method:The procedure is based upon an initial-value formulation with the non- orthogonal coordinates as the independent variable. The initial-value problem is solved in its partial differential equation form. | ||

Restrictions:The initial non-orthogonal mesh must be smooth. | ||

Running time:The running time scales linearly with the number of mesh points. On a CDC 7600 RECTC requires 0.037 s per 1000 points and RECTO requires 0.016 s per 1000 points. |

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