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添加24字节 、 2020年12月15日 (二) 21:42
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Finite-difference methods are numerical methods for approximating the solutions to differential equations using finite difference equations to approximate derivatives.
 
Finite-difference methods are numerical methods for approximating the solutions to differential equations using finite difference equations to approximate derivatives.
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有限差分法是一种数值方法,用差分方程近似微分方程的解。
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有限差分法是一种数值方法,用差分方程近似倒数来近似微分方程的解。
    
=== Finite volume method ===
 
=== Finite volume method ===
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Similar to the finite difference method or finite element method, values are calculated at discrete places on a meshed geometry. "Finite volume" refers to the small volume surrounding each node point on a mesh. In the finite volume method, surface integrals in a partial differential equation that contain a divergence term are converted to volume integrals, using the divergence theorem. These terms are then evaluated as fluxes at the surfaces of each finite volume. Because the flux entering a given volume is identical to that leaving the adjacent volume, these methods conserve mass by design.
 
Similar to the finite difference method or finite element method, values are calculated at discrete places on a meshed geometry. "Finite volume" refers to the small volume surrounding each node point on a mesh. In the finite volume method, surface integrals in a partial differential equation that contain a divergence term are converted to volume integrals, using the divergence theorem. These terms are then evaluated as fluxes at the surfaces of each finite volume. Because the flux entering a given volume is identical to that leaving the adjacent volume, these methods conserve mass by design.
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类似于有限差分法或有限元分析,函数值是在网状几何体上的离散位置进行计算的。“有限体积”是指网格上每个节点周围的小体积。在有限体积法中,偏微分方程中含有散度项的面积分用散度定理积分转换成体积分。然后将这些项用于估算每个有限体积表面上的通量。由于进入给定体积的通量与转移到相邻体积元的通量相同,所以这些方法在设计上保证了质量守恒。
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类似于有限差分法或有限元分析,函数值是在网格化的几何体上的离散位置进行计算的。“有限体积”是指网格上每个节点周围的小体积。在有限体积法中,偏微分方程中含有散度项的面积分用散度定理积分转换成体积分。然后将这些项用于估算每个有限体积表面上的通量。由于进入给定体积元的通量与转移出相邻体积元的通量相同,所以这些方法通过设计保证了质量守恒。
    
==See also==
 
==See also==
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