A Four-Step Fixed-Grid Method for 1D Stefan ProblemsSource: Journal of Heat Transfer:;2010:;volume( 132 ):;issue: 011::page 114502Author:M. Tadi
DOI: 10.1115/1.4002148Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: 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.
keyword(s): Scalars , Stability , Algorithms , Equations , Finite difference methods AND Boundary-value problems ,
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| contributor author | M. Tadi | |
| date accessioned | 2017-05-09T00:38:46Z | |
| date available | 2017-05-09T00:38:46Z | |
| date copyright | November, 2010 | |
| date issued | 2010 | |
| identifier issn | 0022-1481 | |
| identifier other | JHTRAO-27900#114502_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/143747 | |
| description abstract | 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. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | A Four-Step Fixed-Grid Method for 1D Stefan Problems | |
| type | Journal Paper | |
| journal volume | 132 | |
| journal issue | 11 | |
| journal title | Journal of Heat Transfer | |
| identifier doi | 10.1115/1.4002148 | |
| journal fristpage | 114502 | |
| identifier eissn | 1528-8943 | |
| keywords | Scalars | |
| keywords | Stability | |
| keywords | Algorithms | |
| keywords | Equations | |
| keywords | Finite difference methods AND Boundary-value problems | |
| tree | Journal of Heat Transfer:;2010:;volume( 132 ):;issue: 011 | |
| contenttype | Fulltext |