A Four-Step Fixed-Grid Method for 1D Stefan Problems

M. Tadi

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A Four-Step Fixed-Grid Method for 1D Stefan Problems

机译：一维Stefan问题的四步固定网格方法

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摘要

This note is concerned with a fixed-grid finite difference method for the solution of one-dimensional free boundary problems. The method solves for the field variables and the location of the boundary in separate steps. As a result of this decoupling, the nonlinear part of the algorithm involves only a scalar unknown, which is the location of the moving boundary. A number of examples are used to study the applicability of the method. The method is particularly useful for moving boundary problems with various conditions at the front.

机译：该注释涉及一种用于解决一维自由边界问题的固定网格有限差分方法。该方法在单独的步骤中求解字段变量和边界位置。由于这种解耦，该算法的非线性部分仅涉及标量未知量，这是运动边界的位置。许多例子被用来研究该方法的适用性。该方法对于在前面具有各种条件的移动边界问题特别有用。

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来源
《Journal of Heat Transfer》 |2010年第11期|p.114502.1-114502.4|共4页
作者
M. Tadi;
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作者单位

Department of Mechanical Engineering,University of Colorado at Denver,Campus Box 112,P.O. Box 173364,Denver, CO 80217-3364;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Stefan problems; parabolic systems;

机译：斯蒂芬问题;抛物线系统;

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1. A fixed-grid local method for 1-D Stefan problems [J] . Tadi M. Applied mathematics and computation . 2012,第4期

机译：一维Stefan问题的固定网格局部方法
2. An Extension of the Stefan-Type Solution Method Applicable to Multi-component, Multi-phase 1D Systems [J] . Lewis K. C., Coakley Samuel, Miele Sean Transport in Porous Media . 2017,第3期

机译：Stefan型求解方法的扩展，适用于多分量，多相一维系统
3. Numerical solution of the one phase 1D fractional Stefan problem using the front fixing method [J] . Blasik Marek, Klimek Malgorzata Mathematical Methods in the Applied Sciences . 2015,第15期

机译：一阶一维分数斯蒂芬问题的前固定法数值解
4. Numerical Method for the One Phase 1D Fractional Stefan Problem Supported by an Artificial Neural Network [C] . Marek B?asik Future Technologies Conference . 2021

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6. A Four-Step Method for the Development of an ADHD-VR Digital Game Diagnostic Tool Prototype for Children Using a DL Model [O] . Tjhin Wiguna, Ngurah Agung Wigantara, Raden Irawati Ismail, 2020

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7. 1D Particle, 1D Field, 1D Interaction. Simple Exactly Solvable Models based on Finite Rank Perturbations Methods. III. Linear Friction as Radiation Reaction [O] . Choroszavin, Sergej A. 2003

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8. Direct and Iterative One-Dimensional Front Tracking Methods for the Two-Dimensional Stefan Problem. [R] . Meyer, G. H. 1978

机译：二维stefan问题的直接和迭代一维前沿跟踪方法。

A Four-Step Fixed-Grid Method for 1D Stefan Problems

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