This paper aims to introduce a suitable radial basis function (RBF) for simulating the 2D coupled Burgers’ equations at high Reynolds’ (Re) numbers by collocation. With RTH RBF we denote the RBF obtained by the hyperbolic tangent. We show that it approximates accurately both steep gradient and flat surfaces by small values of the shape parameter.
Non-oscillatory Solutions of the 2D Coupled Burgers' Equations Using the RTH RBF Method
Maryam Mohammadi
;Stefano De Marchi
2024
Abstract
This paper aims to introduce a suitable radial basis function (RBF) for simulating the 2D coupled Burgers’ equations at high Reynolds’ (Re) numbers by collocation. With RTH RBF we denote the RBF obtained by the hyperbolic tangent. We show that it approximates accurately both steep gradient and flat surfaces by small values of the shape parameter.
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