Abstract
This article presents a new method based on meshelss methods in the case of boundary layer. A traditional Finite Elements Method (MEF) is always engaged to calculate many parameters as well as nodes, and elements. This fact, can negatively affect the computational cost. In order to avoid this problem, we propose a new Mesh-Free using only one parameter. The single use of Prandtl equations on “nodes” in Mesh processing can provide a low cost and precision. In addition, the extracted nodes will be modeled using “Radial Basis Function in Finite Differences” (RBF-FD). Simulation of this algorithm is made on Matlab. Numerical results (of dynamic boundary) outperform conventional Mesh-Free methods as well as “Finite Elements Method”.
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Mnebhi-Loudyi, A., Boudi, E.M., Ouazar, D. (2019). An Adaptative Meshless Method Based on Prandtl’s Equation. In: Ntalianis, K., Vachtsevanos, G., Borne, P., Croitoru, A. (eds) Applied Physics, System Science and Computers III. APSAC 2018. Lecture Notes in Electrical Engineering, vol 574 . Springer, Cham. https://doi.org/10.1007/978-3-030-21507-1_46
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