A full-stress, thermomechanical flow band model using the finite volume method
A full-stress, thermomechanical flow band model using the finite volume method
复制标题
使用有限体积法的全应力热机械流带模型
DOI：
10.1029/2006jf000724
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发表时间：
2007
影响因子：
--
通讯作者：
Conway, H.
中科院分区：
文献类型：
--
作者：
Price, S. F.;Waddington, E. D.;Conway, H.
采用有限体积法建立了一个热力学冰流模型。单独的子模型求解完整的二维动量方程、对流扩散热方程和自由表面的演化。该方法的一个独特之处是使用了边界拟合的正交曲线坐标系，这简化了边界条件的实现，导致了直接的离散化方案，并导致了可以直接求逆的带状稀疏系数矩阵。对于简单的边界条件和几何形状，该模型与解析解进行了比较。对于更复杂的边界条件和几何形状，该模型与以前作者获得的全应力解相比非常好。
A thermomechanical ice flow model is formulated using the finite volume method. Separate submodels solve the full, two‐dimensional momentum equations, the advective‐diffusive heat equation, and evolution of the free surface. A unique aspect of the method is the use of a boundary‐fitted, orthogonal, curvilinear coordinate system, which simplifies the implementation of boundary conditions, leads to a straightforward discretization scheme, and results in banded sparse coefficient matrices that can be inverted directly. For simple boundary conditions and geometries, the model compares well with analytical solutions. For more complicated boundary conditions and geometries, the model compares well with full‐stress solutions obtained by previous authors.