An ill-designed algorithm for solving a multi-dimensional nonlinear diffusion equation in a domain limited by a moving boundary
Deleersnijder, E. (1994). An ill-designed algorithm for solving a multi-dimensional nonlinear diffusion equation in a domain limited by a moving boundary. Math. Comput. Model. 19(10): 75-82
In: Mathematical and Computer Modelling. Elsevier Science: Oxford. ISSN 0895-7177; e-ISSN 1872-9479, more
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| Keywords |
Algorithms
Equations > Nonlinear equations
Transport processes > Advection
Transport processes > Diffusion
Marine/Coastal |
| Abstract |
In the Appendix of a recent article, a numerical method was suggested for solving two-dimensional, nonlinear, advection-diffusion equations in a domain limited by a moving boundary. A theoretical analysis reveals that, in most cases, the velocity of the boundary must be predicted to be zero. This undesirable behaviour stems from the incompatibility of the nonlinear numerical stability condition and the criterion allowing the boundary to move. An improvement to the algorithm is briefly outlined. |
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