Výsledky vyhledávání - "Finite Volume methods"

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Coupled Boundary Element and Finite Volume Methods for Modeling Fluid-Induced Seismicity in Fault Networks within Low-Permeability Rocks

Autor: Romanet, Pierre, Scuderi, Marco Maria, Ampuero, Jean-Paul, Chaillat, Stephanie, Cappa, Frederic

To better understand the mechanics of injection-induced seismicity, we developed a two-dimensional numerical code to simulate both seismic and aseismic slip on non-planar faults and fault networks driven by fluid diffusion along permeable faults. Our

Externí odkaz: http://arxiv.org/abs/2412.03194

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IMEX-RK finite volume methods for nonlinear 1d parabolic PDEs. Application to option pricing

Autor: López-Salas, J. G., Suárez-Taboada, M., Castro, M. J., Ferreiro-Ferreiro, A. M., García-Rodríguez, J. A.

Publikováno v: L\'opez-Salas, J.G. et. al. IMEX-RK Finite Volume Methods for Nonlinear 1d Parabolic PDEs. Application to Option Pricing. In: Hyperbolic Problems: Theory, Numerics, Applications. SEMA SIMAI Springer Series, vol 35. Springer, Cham, 2024

The goal of this paper is to develop 2nd order Implicit-Explicit Runge-Kutta (IMEX-RK) finite volume (FV) schemes for solving 1d parabolic PDEs for option pricing, with possible nonlinearities in the source and advection terms. The spatial semi-discr

Externí odkaz: http://arxiv.org/abs/2409.01125

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Modeling Turbulence in the Atmospheric Boundary Layer with Spectral Element and Finite Volume Methods

Autor: Churchfield, Ananias Tomboulides Matthew, Fischer, Paul, Sprague, Michael, Min, Misun

We present large-eddy-simulation (LES) modeling approaches for the simulation of atmospheric boundary layer turbulence that are of direct relevance to wind energy production. In this paper, we study a GABLS benchmark problem using high-order spectral

Externí odkaz: http://arxiv.org/abs/2410.00147

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Mixed finite element and TPSA finite volume methods for linearized elasticity and Cosserat materials

Autor: Nordbotten, Jan Martin, Boon, Wietse M., Duran, Omar, Keilegavlen, Eirik

Cosserat theory of elasticity is a generalization of classical elasticity that allows for asymmetry in the stress tensor by taking into account micropolar rotations in the medium. The equations involve a rotation field and associated "couple stress"

Externí odkaz: http://arxiv.org/abs/2409.13273

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On Godunov-type finite volume methods for seismic wave propagation

Autor: Camargo, Juan B., Peixoto, Pedro S., Silva, Felipe A. G.

The computational complexity of simulating seismic waves demands continual exploration of more efficient numerical methods. While Finite Volume methods are widely acclaimed for tackling general nonlinear hyperbolic (wave) problems, their application

Externí odkaz: http://arxiv.org/abs/2407.18820

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