Application of the meshless generalised RKPM to the transient advection-diffusion-reaction equation
- Publisher:
- Elsevier
- Publication Type:
- Journal Article
- Citation:
- Computers and Structures, 2017, 193, pp. 172-186
- Issue Date:
- 2017-12-01
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1-s2.0-S004579491631375X-main.pdf | 3.92 MB |
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A variety of physical problems may be expressed using the advection–diffusion-reaction (ADR) equation that encompasses transport processes into a porous or nonporous material. Finding a theoretical solution to the ADR equation is difficult with time-dependent nonlinear coefficients, complicated geometries, general initial value and/or boundary conditions. In this paper a meshless model is developed by adapting the generalised reproducing kernel particle method to the strong and weak integral forms of ADR equation. Moreover, mixed–type boundary conditions are directly enforced via generalising the corrected collocation method. The model is validated using existing analytical solutions and shown to be both accurate and efficient.
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