Enforcing positivity with conservation for nine-point scheme of nonlinear diffusion equations
The nine-point scheme (NPS) is a finite volume scheme for solving nonlinear diffusion equations on quadrilateral grids. It’s well-known that the solution of the scheme on distorted grids cannot preserve positivity when all given data are nonnegative. Here for the NPS of nonlinear diffusion problems...
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| Veröffentlicht in: | Computer methods in applied mechanics and engineering 2012-06, Vol.223-224, p.161-172 |
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| creator | Yao, Yanzhong Yuan, Guangwei |
| description | The nine-point scheme (NPS) is a finite volume scheme for solving nonlinear diffusion equations on quadrilateral grids. It’s well-known that the solution of the scheme on distorted grids cannot preserve positivity when all given data are nonnegative. Here for the NPS of nonlinear diffusion problems we propose a conservative enforcing positivity algorithm (CEPA), which is posterior correction of the discrete solution, and allows the new solution preserves positivity as well as local conservation at each step of nonlinear iteration. Numerical results are presented to demonstrate that the accuracy of our algorithm of enforcing positivity with conservation is higher than some common procedures of positivity correction. |
| doi_str_mv | 10.1016/j.cma.2012.03.001 |
| format | Article |
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| ispartof | Computer methods in applied mechanics and engineering, 2012-06, Vol.223-224, p.161-172 |
| issn | 0045-7825 1879-2138 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_1671460747 |
| source | Elsevier ScienceDirect Journals |
| subjects | Algorithms Arbitrary quadrilateral grids Conservation Diffusion Distortion Exact sciences and technology Mathematical analysis Mathematical models Mathematics Nonlinear diffusion equation Nonlinearity Partial differential equations Positivity correction Preserves Sciences and techniques of general use |
| title | Enforcing positivity with conservation for nine-point scheme of nonlinear diffusion equations |
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