Results 31 to 40 of about 8,125 (187)
Locally Adaptive Non‐Hydrostatic Shallow Water Extension for Moving Bottom‐Generated Waves
International Journal for Numerical Methods in Fluids, EarlyView.This study proposes a locally adaptive non‐hydrostatic model, which is based on the non‐hydrostatic extension of the shallow water equations (SWE) with a quadratic pressure relation, and applies it to wave propagation generated by a moving bottom. To obtain the locally adaptive model, we investigate several potential adaptivity criteria based on the ...
Kemal Firdaus, Jörn Behrens
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AIMS Mathematics, 2016 A high-order Symmetric Interior Penalty discontinuous Galerkin (SIPG) method has been used for solving the incompressible Navier-Stokes equation. We apply the temporal splitting scheme in time and the SIPG discretization in space with the local Lax ...
Lunji Song, Charles O’Neill
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Modeling Floating Potential Conductors Using Discontinuous Galerkin Method
IEEE Access, 2020 Isolated conductors appear in various electrostatic problems. In simulations, an equipotential condition with an undefined/floating potential value is enforced on the surface of isolated conductors.
Liang Chen, Ming Dong, Hakan Bagci
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Инженерные технологии и системы, 2021 Introduction. In this article, the problem of temperature distribution in an oil-bearing formation with a hydraulic fracture and a vertical injection well is numerically modeled. Materials and Methods. To describe the process of temperature distribution
Ruslan V. Zhalnin +3 more
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Quarterly Journal of the Royal Meteorological Society, EarlyView.Our article presents a new vertical‐slice test case for benchmarking atmospheric dynamical cores. The test case is based on the Eady frontogenesis problem, producing sharp fronts that provide a challenge for numerical models. This was not previously possible in a 2D vertical‐slice configuration unless the model is incompressible, so our test case ...
Hiroe Yamazaki, Colin J. Cotter
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Reduced Order Modelling of Shigesada-Kawasaki-Teramoto Cross-Diffusion Systems
Journal of Mathematical Sciences and Modelling, 2023 Shigesada-Kawasaki-Teramoto (SKT) is the most known equation in population ecology for nonlinear cross-diffusion systems. The full order model (FOM) of the SKT system is constructed using symmetric interior penalty discontinuous Galerkin method (SIPG ...
Gülden Mülayim
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A regional implementation of a mixed finite‐element, semi‐implicit dynamical core
Quarterly Journal of the Royal Meteorological Society, EarlyView.A regional version of a new dynamical core with an iterated semi‐implicit time discretisation and mixed finite‐element spatial discretisation is described. This involves modifying the mixed‐system and Helmholtz‐preconditioner equations to use lateral boundary condition (LBC) data specified by a driving model.
Christine Johnson +9 more
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مجلة المختار للعلوم, 2017 The volume integral of Riemann flux in the discontinuous Galerkin (DG) method is introduced in this paper. The boundaries integrals of the fluxes (Riemann flux) are transformed into volume integral.
Ibrahim. M. Rustum, ElHadi. I. Elhadi
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Advanced Numerical Methods for Graphene Simulation with Equivalent Boundary Conditions: A Review
Photonics, 2023 Since the discovery of graphene, due to its excellent optical, thermal, mechanical and electrical properties, it has a broad application prospect in energy, materials, biomedicine, electromagnetism and other fields.
Yansheng Gong, Na Liu
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Quarterly Journal of the Royal Meteorological Society, EarlyView.We present a compatible finite‐element discretisation of a general formulation of moist shallow‐water equations, with the aim of providing a simple model to advance understanding of physics–dynamics coupling. We detail set‐ups and show three moist shallow‐water test cases in four different model formulations. The results demonstrate differences between
Nell Hartney +2 more
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