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Determinant of the Finite Volume Laplacian
Discrete & Computational Geometry, 2022 The finite volume Laplacian can be defined in all dimensions and is a natural way to approximate the operator on a simplicial mesh. In the most general setting, its definition with orthogonal duals may require that not all volumes are positive; an example is the case corresponding to two-dimensional finite elements on a non-Delaunay triangulation ...
Thomas Doehrman, David Glickenstein
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Additivity of relative magnetic helicity in finite volumes [PDF]
Astronomy & Astrophysics, 2020 Context. Relative magnetic helicity is conserved by magneto-hydrodynamic evolution even in the presence of moderate resistivity. For that reason, it is often invoked as the most relevant constraint on the dynamical evolution of plasmas in complex systems,
G. Valori +5 more
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Nuclear Physics B, 1992 48/28 pages + 10 figs, 4 in pictex, the rest in postscript files attached at the ...
Klassen, Timothy R., Melzer, Ezer
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An Efficient GPU Implementation of a Coupled Overland-Sewer Hydraulic Model with Pollutant Transport
Hydrology, 2021 Numerical simulation of flows that consider interaction between overland and drainage networks has become a practical tool to prevent and mitigate flood situations in urban environments, especially when dealing with intense storm events, where the ...
Javier Fernández-Pato +1 more
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On the implementation of a finite volumes scheme with monotone transmission conditions for scalar conservation laws on a star-shaped network [PDF]
Applied Numerical Mathematics, 2019 In this paper we validate the implementation of the numerical scheme proposed in [3]. The validation is made by comparison with an explicit solution here obtained, and the solutions of Riemann problems for several networks.
S. F. Pellegrino
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Mechanical Engineering Journal, 2023 Loss Of Coolant Accident causes the propagation of a transient rarefaction wave within the primary circuit that generates a transient pressure load on the baffle surrounding the reactor core.
Filippo BENTIVEGNA +3 more
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A UNIFIED APPROACH TO MIMETIC FINITE DIFFERENCE, HYBRID FINITE VOLUME AND MIXED FINITE VOLUME METHODS [PDF]
Mathematical Models and Methods in Applied Sciences, 2010 We investigate the connections between several recent methods for the discretization of anisotropic heterogeneous diffusion operators on general grids. We prove that the Mimetic Finite Difference scheme, the Hybrid Finite Volume scheme and the Mixed Finite Volume scheme are in fact identical up to some slight generalizations. As a consequence, some of
Droniou, Jerome +3 more
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, 2000 Publisher Summary This chapter focuses on finite volume methods. The finite volume method is a discretization method that is well suited for the numerical simulation of various types (for instance, elliptic, parabolic, or hyperbolic) of conservation laws; it has been extensively used in several engineering fields, such as fluid mechanics, heat and ...
Eymard, Robert +2 more
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The Roper resonance in a finite volume [PDF]
Communications in Theoretical Physics, 2020 Abstract We calculate the energy levels corresponding to the Roper resonance based on a two-flavor chiral effective Lagrangian for pions, nucleons, deltas, and the Roper resonance at the leading one-loop order. We show that the Roper mass can be extracted from these levels for lattice volumes of moderate size.
Severt, Daniel, Meißner, Ulf-G
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The finite volume method on Sierpiński Simplices [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2021 In this work, we exploit Strichartz average approach \cite{Strichartz2001} to define the Laplacian on Sierpiński gasket, in the construction of the finite volume method. The approach present sum similarities with the finite difference approach in terms of stability and convergence.
Nizare Riane, Claire David
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