质量守恒的BDF-间断Galerkin/显式有限体积格式用于耦合地下和地表水流
Mass conservative BDF-discontinuous Galerkin/explicit finite volume schemes for coupling subsurface and overland flows
AI总结：
针对地下与地表水流耦合问题，设计了质量守恒的BDF-间断Galerkin/显式有限体积格式，通过界面通量设计确保整体质量守恒。
摘要：
设计了稳健且精确的格式来模拟地下水流与地表水流的耦合。界面处的耦合条件强制法向通量和压力的连续性。控制地下水流的Richards方程采用向后微分公式和对称内罚间断Galerkin方法离散。控制地表水流的运动波方程采用Godunov格式离散。两种格式各自都是质量守恒的，并且可以用于单步或多步耦合算法中，由于多步情况下界面通量的特定设计，确保了整体质量守恒。数值结果展示了所提算法的性能。
英文摘要：
Robust and accurate schemes are designed to simulate the coupling between subsurface and overland flows. The coupling conditions at the interface enforce the continuity of both the normal flux and the pressure. Richards' equation governing the subsurface flow is discretized using a Backward Differentiation Formula and a symmetric interior penalty Discontinuous Galerkin method. The kinematic wave equation governing the overland flow is discretized using a Godunov scheme. Both schemes individually are mass conservative and can be used within single-step or multi-step coupling algorithms that ensure overall mass conservation owing to a specific design of the interface fluxes in the multi-step case. Numerical results are presented to illustrate the performances of the proposed algorithms.
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