Solving the stefan problem with the radial basis function collocation mehod

Kovacevic I.; Poredos A.; Sarler B.

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Solving the stefan problem with the radial basis function collocation mehod

机译：用径向基函数搭配法求解Stefan问题

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In this paper the classical Stefan problem in its enthalpy formulations is solved with the radial basis function collocation method. The phase change is treated using the general source-based method of V.R. Voller & C.R. Swaminathan. Tests include numerical convergence studies for the two-dimensional Dirichlet jump problem with a solid-liquid phase change. The numerical results are compared with a semi-analytical solution given by K.A. Rathjen & L.M. Jiji, and with finite-volume method. The suitability of the radial basis function collocation method is demonstrated using a realistic engineering problem involving a charging tank for latent cool thermal storage. [References: 25]

机译：在本文中，用径向基函数配置方法解决了焓表达式中的经典Stefan问题。使用基于V.R.的一般基于源的方法处理相变。 Voller＆C.R. Swaminathan。测试包括具有固液相变的二维Dirichlet跳问题的数值收敛研究。数值结果与K.A.给出的半解析解进行了比较。 Rathjen＆L.M. Jiji，并采用有限体积法。径向基函数配置方法的适用性是通过一个实际的工程问题论证的，该问题涉及一个用于潜冷蓄热的装料箱。 [参考：25]

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《Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology》 |2003年第6期|共25页
作者
Kovacevic I.; Poredos A.; Sarler B.;
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正文语种 eng
中图分类热力工程、热机;
关键词
Partial-differential-equations; Computational fluid-dynamics; Data approximation scheme; Boundary-element method; Phase-change problems; Meshless methods; Numerical-solution; Solidification; Heat; Multiquadrics;

机译：偏微分方程;计算流体力学;数据逼近方案;边界元方法;相变问题;无网格方法;数值解;固溶;热;多二次方程;

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1. Solving the stefan problem with the radial basis function collocation mehod [J] . Kovacevic I., Poredos A., Sarler B. Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology . 2003,第6期

机译：用径向基函数搭配法求解Stefan问题
2. A hybrid radial basis functions collocation technique to numerically solve fractional advection-diffusion models [J] . Hussain Manzoor, Haq Sirajul Numerical Methods for Partial Differential Equations: An International Journal . 2020,第6期

机译：混合径向基函数搭配技术在数值上解决分数平流扩散模型
3. Solving biharmonic equation as an optimal control problem using localized radial basis functions collocation method [J] . Boudjaj Loubna, Naji Ahmed, Ghafrani Fatima Engineering analysis with boundary elements . 2019,第Octa期

机译：用局部径向基函数搭配法求解双调和方程作为最优控制问题
4. Least-Squares Collocation Points Meshless Method with Radial Basis Functions Solving Elliptic Equations [C] . Baoshan Miao, Xinqiang Qin, Gang Hu, ISAI 2010;International conference on information security and artificial intelligence . 2010

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5. Accelerating the performance of a novel meshless method based on collocation with radial basis functions by employing a graphical processing unit as a parallel coprocessor. [D] . Owusu-Banson, Derek. 2012

机译：通过将图形处理单元用作并行协处理器，加速了基于新的基于径向和功能并置的无网格方法的性能。
6. Optimal Control of Time-Delay Fractional Equations via a Joint Application of Radial Basis Functions and Collocation Method [O] . Shu-Bo Chen, Samaneh Soradi-Zeid, Hadi Jahanshahi, 2020

机译：通过径向基函数和搭配方法的关节应用优化时滞分数方程的最佳控制
7. Variable Shape Parameter Strategy in Local Radial Basis Functions Collocation Method for Solving the 2D Nonlinear Coupled Burgers’ Equations [O] . Hananeh Nojavan, Saeid Abbasbandy, Tofigh Allahviranloo 2017

机译：二维非线性耦合Burgers方程局部径向基函数配置法中的变形参数策略

Solving the stefan problem with the radial basis function collocation mehod

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