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首页> 外文期刊>Advances in Water Resources >Computation of variably saturated subsurface flow by adaptive mixed hybrid finite element methods
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Computation of variably saturated subsurface flow by adaptive mixed hybrid finite element methods

机译：用自适应混合混合有限元法计算饱和地下渗流。

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摘要

We present adaptive mixed hybrid finite element discretizations of the Richards equation, a nonlinear parabolic partial differential equation modeling the flow of water into a variably saturated porous medium. The approach simultaneously constructs approximations of the flux and the pressure head in Raviart-Thomas spaces. The resulting nonlinear systems of equations are solved by a Newton method. For the linear problems of the Newton iteration a multigrid algorithm is used. We consider two different kinds of error indicators for space adaptive grid refinement: superconvergence and residual based indicators. They can be calculated easily by means of the available finite element approximations. This seems attractive for computations since no additional (sub-)problems have to be solved. Computational experiments conducted for realistic water table recharge problems illustrate the effectiveness and robustness of the approach.
机译：我们提出了Richards方程的自适应混合混合有限元离散化方法，Richards方程是一种非线性抛物线偏微分方程，用于模拟水流入可变饱和多孔介质的过程。该方法同时构造了Raviart-Thomas空间中通量和压头的近似值。由此产生的非线性方程组通过牛顿法求解。对于牛顿迭代的线性问题，使用了多重网格算法。我们考虑用于空间自适应网格细化的两种不同的误差指标：超收敛和基于残差的指标。可以通过可用的有限元逼近轻松地计算它们。这似乎对计算具有吸引力，因为无需解决其他（子）问题。针对实际的地下水位补给问题进行的计算实验说明了该方法的有效性和鲁棒性。

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