Discontinuous Galerkin models for coupled surface-subsurface flow
(2019)
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- Authors
- Supervisors
- Hanert, Emmanuel
- Abstract
- The water cycle is the central component of most environmental systems. A sustainable water management can only be achieved by developing system-wide approaches that encompass the different components of the water cycle. A numerical model is an ideal tool to achieve this goal. In this work, we have developed a suite of numerical models for surface and subsurface water flows. These models solve the 3D Richards equation (RE) and couple it with a 2D surface runoff model based on the non-inertia approximation of the shallow water equations. Unlike classical models of RE, we first consider an explicit time integration scheme to achieve both mass conservation and perfect scaling on High Performance Computers. This saturated/unsaturated subsurface model is then coupled to a surface runoff model, using a coupling method naturally derived from the RE model. In a second step, we consider another formulation that is better suited for water-saturated areas. By slightly degrading the model scalability, we can then handle complex infiltration and evaporation test cases with almost no constraints on the time step and very good numerical efficiency. These models have been thoroughly parameterized and validated on a range of test cases of increasing complexity. They form the building blocks of more complex models that will simulate the water cycle from the raindrop to the ocean.
- Affiliations
Citations
De Maet, T. (2019). Discontinuous Galerkin models for coupled surface-subsurface flow. https://hdl.handle.net/2078.5/56113