Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7058876 | International Journal of Heat and Mass Transfer | 2013 | 10 Pages |
Abstract
Dual-phase-lagging (DPL) equation with temperature jump boundary condition shows promising for analyzing nano heat conduction. For solving it, development of higher-order accurate and unconditionally stable (no restriction on the mesh ratio) numerical schemes is important. Because the grid size may be very small at nano-scale, using a higher-order accurate scheme will allow us to choose a relative coarse grid and obtain a reasonable solution. For this purpose, in this article we present a higher-order accurate and unconditionally stable compact finite difference scheme based on the ratio of relaxation times (0 ⩽ B ⩽ 1 and B > 1). The method is illustrated by three numerical examples including a 2D case.
Keywords
Related Topics
Physical Sciences and Engineering
Chemical Engineering
Fluid Flow and Transfer Processes
Authors
Weizhong Dai, Fei Han, Zhizhong Sun,