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首页> 外文期刊>Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology >A coupled differential quadrature and finite element method for 3-D transient heat transfer analysis of functionally graded thick plates
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A coupled differential quadrature and finite element method for 3-D transient heat transfer analysis of functionally graded thick plates

机译：功能梯度厚板的3-D瞬态传热分析的差分正交积分和有限元方法

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摘要

Using the potential of the finite-element method (FEM) to model irregular domains in combination with the capability of the differential quadrature method (DQM) to solve accurately variable-coefficients initial-boundary-value differential equations, a hybrid numerical method is introduced for the three-dimensional (3-D) transient heat transfer analysis of functionally graded thick plates. The in-plane spatial derivatives are discretized using the FEM and the resulting transient-variable-coefficient partial differential equations are discretized in the transverse direction and temporal domain employing the incremental DQM, which is an unconditionally stable scheme. It is shown that highly accurate results can be obtained using few differential quadrature grid points and finite elements.
机译：利用有限元方法（FEM）的潜力对不规则域进行建模，并结合微分正交方法（DQM）的功能，可以精确求解变系数初边值微分方程，为此引入了一种混合数值方法功能梯度厚板的三维（3-D）瞬态传热分析。使用有限元方法对平面内空间导数进行离散化，并使用增量DQM在横向和时域上对所得的瞬态变量系数偏微分方程进行离散化，这是一种无条件稳定的方案。结果表明，使用很少的差分正交网格点和有限元可以得到高度准确的结果。

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