An improved multislope MUSCL scheme for solving shallow water equations on unstructured grids

Zhao, Jiaheng; Özgen‐Xian, Ilhan; Liang, Dongfang; Hinkelmann, Reinhard

doi:10.1016/j.camwa.2018.09.059

Cited by 11 publications

(7 citation statements)

References 25 publications

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“…Nonetheless, MWDG2 predictions at ε = 10 −2 can be deemed acceptable: beside the sources of uncertainty in this test (sensitivity to the choice of the Manning's coefficient and errors in experimental data measurement), its predictions are found to be in a better agreement with measured data compared with other predictions made by a second-order finite volume solver (FV2) on a triangular mesh type (Zhao et al, 2019), and by a third-order MWDG (MWDG3) solver designed with different treatments to achieve well-balancedness with wetting and drying (Caviedes-Voullième et al, 2020).…”

Section: Malpasset Dam-breakmentioning

confidence: 84%

“…In this final test, the MWDG2 and HFV1 solvers are studied to replicate the Malpasset dam break. This test case is frequently used as a benchmark test for shallow water numerical models (Hervouet and Petitjean, 1999;Valiani et al, 2002;Brufau et al, 2004;Liang et al, 2007;Shi and Nguyen, 2008;Wang et al, 2011;Delis et al, 2011;Kesserwani and Liang, 2012a;Guermond et al, 2018;Zhao et al, 2019). The Malpasset dam was located in the Reyran river valley in France.…”

Section: Malpasset Dam-breakmentioning

confidence: 99%

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(Multi)wavelets increase both accuracy and efficiency of standard Godunov-type hydrodynamic models: Robust 2D approaches

Kesserwani

Sharifian

2020

Advances in Water Resources

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Multiwavelets (MW) enable the compression, analysis and assembly of model data on a multiresolution grid withinGodunov-type solvers based on second-order discontinuous Galerkin (DG2) and first-order finite volume (FV1) methods.Multiwavelet adaptivity has been studied extensively with one-dimensional (1D) hydrodynamic models (Kesserwani et al., 2019), revealing that MWDG2 can be 20 times faster than uniform DG2 and 2 times faster than uniform FV1, while preserving the accuracy and robustness of the underlying formulation. The potential of the MWDG2 scheme has yet to be studied for two-dimensional (2D) modelling, but this requires a design that robustly and efficiently solves the 2D shallow water equations (SWE) with complex source terms and wetting and drying. This paper presents a two-dimensional MWDG2 scheme that: (1) adopts a slope-decoupled DG2 solver as a reference scheme, for its ability to deliver well-balanced piecewise-planar solutions shaped by a simplified 3-component basis; and, (2) adapts the multiresolution analysis of multiwavelets for compatibility with the slope-decoupled DG2 basis. A scaled reformulation of slope-decoupled DG2 is presented alongside two multiwavelet approaches that yield MWDG2 schemes with similar properties, and a Haar wavelet FV1 (HFV1) variant for adapting piecewise-constant model data. The performance of the adaptive HFV1 and MWDG2 solvers is explored alongside their uniform counterparts, while analysing their accuracy, efficiency, grid-coarsening ability, reliability in handling wet-dry fronts across steep bed-slopes, and ability to capture features relevant to practical hydraulic modelling. The results indicate a particular multiwavelet approach that allows the MWDG2 scheme to exploit its grid-coarsening ability for the widest range of flow types. Results also indicate that the proposed (multi)wavelet-based adaptive schemes are even more efficient for the 2D case. Accompanying model software is openly available online.

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Section: Malpasset Dam-breakmentioning

confidence: 84%

Section: Malpasset Dam-breakmentioning

confidence: 99%

(Multi)wavelets increase both accuracy and efficiency of standard Godunov-type hydrodynamic models: Robust 2D approaches

Kesserwani

Sharifian

2020

Advances in Water Resources

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“…The well-established test case by Thacker (1981) for a periodic oscillation of a planar surface in a frictionless paraboloid has been extensively used for validation of shallow-water solvers (e.g. Aureli et al, 2008;Dazzi et al, 2018;Liang et al, 2015;Murillo and García-Navarro, 2010;Vacondio et al, 2014;Zhao et al, 2019) because of its rather complex 2D nature and the presence of moving wet-dry fronts. The topography is defined as…”

Section: Analytical Oscillation: Parabolic Bowlmentioning

confidence: 99%

SERGHEI (SERGHEI-SWE) v1.0: a performance-portable high-performance parallel-computing shallow-water solver for hydrology and environmental hydraulics

et al. 2023

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Abstract. The Simulation EnviRonment for Geomorphology, Hydrodynamics, and Ecohydrology in Integrated form (SERGHEI) is a multi-dimensional, multi-domain, and multi-physics model framework for environmental and landscape simulation, designed with an outlook towards Earth system modelling. At the core of SERGHEI's innovation is its performance-portable high-performance parallel-computing (HPC) implementation, built from scratch on the Kokkos portability layer, allowing SERGHEI to be deployed, in a performance-portable fashion, in graphics processing unit (GPU)-based heterogeneous systems. In this work, we explore combinations of MPI and Kokkos using OpenMP and CUDA backends. In this contribution, we introduce the SERGHEI model framework and present with detail its first operational module for solving shallow-water equations (SERGHEI-SWE) and its HPC implementation. This module is designed to be applicable to hydrological and environmental problems including flooding and runoff generation, with an outlook towards Earth system modelling. Its applicability is demonstrated by testing several well-known benchmarks and large-scale problems, for which SERGHEI-SWE achieves excellent results for the different types of shallow-water problems. Finally, SERGHEI-SWE scalability and performance portability is demonstrated and evaluated on several TOP500 HPC systems, with very good scaling in the range of over 20 000 CPUs and up to 256 state-of-the art GPUs.

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“…The Malpasset dam-break event Hervouet and Petitjean (1999) is the most commonly used real-scale benchmark test in shallow water modelling (An et al, 2015;Brodtkorb et al, 2012;Brufau et al, 2004;Caviedes-Voullième et al, 2020b;Duran et al, 2013;George, 2010;Hervouet and Petitjean, 1999;Hou et al, 2013a;Kesserwani and Liang, 2012;Kesserwani and Sharifian, 2020;Kim et al, 2014;Liang et al, 2007;Saetra et al, 2015;Schwanenberg and Harms, 2004;Smith and Liang, 2013;Valiani et al, 2002;Xia et al, 2011;Yu and Duan, 2012;Wang et al, 2011;Zhou et al, 2013;Zhao et al, 2019). Although it may not be particularly challenging for current solvers, it remains an interesting case due to its scale, and the available field and experimental data (Aureli et al, 2021).…”

Section: Malpasset Dam-breakmentioning

confidence: 99%

“…This case has been extensively used for validation of shallow water solvers, for example (Aureli et al, 2008;Dazzi et al, 2018;Liang et al, 2015;Murillo and García-Navarro, 2010;Vacondio et al, 2014;Zhao et al, 2019), because of its rather complex Period T = 2.242851 s 2D nature and the presence of moving wet/dry fronts. The topography is again given by Equation 8with the same choice of parameters and discretisation as before.…”

mentioning

confidence: 99%

SERGHEI (-SWE) v1.0: a performance portable HPC shallow water solver for hydrology and environmental hydraulics

Caviedes‐Voullième¹,

Morales-Hernändez

Norman

et al. 2022

Preprint

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Abstract. The Simulation Environment for Geomorphology, Hydrodynamics and Ecohydrology in Integrated form (SERGHEI) is a multi-dimensional, multi-domain and multi-physics model framework for environmental and landscape simulation, designed with an outlook towards Earth System Modelling. It aims to provide a modelling environment for hydrodynamics, ecohydrology, morphodynamics, and, most importantly, interactions and feedbacks among such processes at different levels of complexity and across spatiotemporal scales. The small scale feedbacks and interactions, which warrant high resolution, can result in emergent behaviours manifesting at larger scales, thus warranting large model domains. At the core of SERGHEI's technical innovation is its HPC implementation, built from scratch on the Kokkos portability layer. Consequently, SERGHEI achieves performance-portability from personal computers to top HPC systems, including GPU-based and heterogeneous systems. SERGHEI relies Kokkos to handle memory spaces, thread management and execution policies for the required backend programming models. In this work we explore combinations of MPI and Kokkos using OpenMP and CUDA backends. In this contribution, we introduce the SERGHEI model framework, and present with detail its first operational module for solving shallow water equations (SERGHEI-SWE). This module is designed to be applicable to hydrological, environmental and consequently Earth System Modelling problems, but also to classical engineering problems such as fluvial or urban flood modelling. We also provide evidence of its applicability by testing it against several well-known benchmarks. We also evaluate its performance on several benchmarks and large scale problems. Finally, SERGHEI-SWE is evaluated in terms of scaling (on several TOP500 HPC systems).

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An improved multislope MUSCL scheme for solving shallow water equations on unstructured grids

Cited by 11 publications

References 25 publications

(Multi)wavelets increase both accuracy and efficiency of standard Godunov-type hydrodynamic models: Robust 2D approaches

(Multi)wavelets increase both accuracy and efficiency of standard Godunov-type hydrodynamic models: Robust 2D approaches

SERGHEI (SERGHEI-SWE) v1.0: a performance-portable high-performance parallel-computing shallow-water solver for hydrology and environmental hydraulics

SERGHEI (-SWE) v1.0: a performance portable HPC shallow water solver for hydrology and environmental hydraulics

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