Curvilinear Coordinates

Version 1.2.0.0 (160 KB) von Howard Wilson
Programs using curvilinear coordinates, and tensor concepts are given.
5.0
(3)
2,5K Downloads
Aktualisiert 15 Apr 2014

Lizenz anzeigen

Programs and utility functions employing the Symbolic Math Toolbox are provided to analyze vectors and tensors in general curvilinear coordinates. The programs perform the following functions:
1) runcoord plots intersecting coordinate surfaces for several typical coordinate systems
2) runmetric computes and prints metric tensor properties for a general curvilinear coordinate system specified in a user defined function such as sphr.m
3) rundivcrl verifies agreement of numerical values of divergence and curl of an arbitrary vector computed in both cartesian and curvilinear coordinates
4) runconic plots surfaces illustrating how intersections of a cone and a plane produce conic section curves.
5) Testmetric computes properties for nine different coordinate systems and places the output in runmetric.tst. The symbolic equations from some of the examples are fairly lengthy.

The programs employ a number of other functions to define several coordinate systems (such as cylindrical, spherical, toroidal, conical, parabolic, ellipsoidal, and oblate spheroidal) and to compute base vectors, metric tensors, Christoffel symbols, covariant derivatives, divergence, and curl.

Functions readme.m and listequations.m describe the workspace contents and governing equations. These files, consisting mainly of comments, can be examined by typing their names or using the editor. A longer pdf file, accessible with the command open('TensorNotes.pdf'), develops the classical ideas of curvilinear coordinates and tensor analysis.

Zitieren als

Howard Wilson (2024). Curvilinear Coordinates (https://www.mathworks.com/matlabcentral/fileexchange/15903-curvilinear-coordinates), MATLAB Central File Exchange. Abgerufen .

Kompatibilität der MATLAB-Version
Erstellt mit R14SP1
Kompatibel mit allen Versionen
Plattform-Kompatibilität
Windows macOS Linux
Kategorien
Mehr zu Coordinate Systems finden Sie in Help Center und MATLAB Answers

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

cctomathworks/

Version Veröffentlicht Versionshinweise
1.2.0.0

The code has been updated to run under MATLAB 8.3(R2014a) using the Symbolic Math Toolbox
1.1.0.0

Several code changes were made to improve compatibility with MATLAB 2011. A pdf document presenting tensor analysis concepts was also added.
1.0.0.0