Results 231 to 240 of about 603,208 (314)

SIMPLIFIED CONTROL-VOLUME FINITE-ELEMENT METHOD

Numerical Heat Transfer, Part B: Fundamentals, 1996
Localized vector algebra treatment of nonorthogonality is applied to two-dimensional quadrilateral control volumes using Cartesian base vectors in a primitive variable formulation of the Navier-Stokes equations for steady incompressible laminar flow. With optional grid-aligned, locally analytic interpolation, a simplified control-volume finite-element ...
Thomas M. Harms, Theodor W. von Backström, J. Prieur du Plessis   +2 more
openaire   +1 more source

A stabilized finite volume element method for a coupled Stokes–Darcy problem

Applied Numerical Mathematics, 2017
In this paper, we present a stabilized finite volume element method with the conforming finite element triples P 1 – P 0 – P 1 and P 1 – P 1 – P 1 for approximating the velocity, pressure, and hydraulic head of a coupled Stokes–Darcy problem.
Rui Li, Jian Li, Xiaoming He, Zhangxin Chen   +3 more
semanticscholar   +1 more source

Combined finite volume–finite element method for shallow water equations

Computers & Fluids, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, JiWen, Liu, RuXun
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A stabilized immersed finite volume element method for elliptic interface problems

Applied Numerical Mathematics, 2019
In this paper, we propose a stabilized immersed finite volume element method for solving elliptic interface problems on Cartesian mesh. To improve the classic immersed finite volume element schemes, certain stability terms over interface edges are added.
Quanxiang Wang, Zhiyue Zhang
semanticscholar   +1 more source

On the immersed boundary method: Finite element versus finite volume approach

Computers & Fluids, 2012
A projection approach is presented for the coupled system of time-dependent incompressible Navier-Stokes equations in conjunction with the Immersed Boundary Method (IBM) for solving fluid flow problems in the presence of rigid objects not represented by the underlying mesh. The IBM allows solving the flow for geometries with complex objects without the
Frisani, Angelo, Hassan, Yassin A.
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Control volume finite element method for radiation

Journal of Quantitative Spectroscopy and Radiative Transfer, 2005
In this paper a new methodology is presented by the authors for the numerical treatment of radiative heat transfer in emitting, absorbing and scattering media. This methodology is based on the utilisation of Control Volume Finite Element Method (CVFEM) and the use, for the first time, of matrix formulation of the discretized Radiative Transfer Equation
M. Ben Salah, F. Askri, D. Rousse, S. Ben Nasrallah   +3 more
openaire   +1 more source

Electro-thermal behaviour using finite volume and Finite Element method

2018 19th International Conference on Thermal, Mechanical and Multi-Physics Simulation and Experiments in Microelectronics and Microsystems (EuroSimE), 2018
The current trend in miniaturising and integration of many functional blocks into one large system-in package or system-in chip has been growing over the years. This demand in a reduction in size and increase in power as increased the thermal effects and the heat generated per device. Consequently, increasing the thermal management challenges engineers
M. A. Bella, C. Bailey, H. Lu
openaire   +1 more source

Staggered Mixed Finite Volume/Finite Element Method for the Navier-Stokes Equations

AIAA Journal, 1999
To solve flow problems associated with the Navier-Stokes equations, we construct a mixed finite volume/finite element method for the spatial approximation of the convective and diffusive parts of the flux, respectively. The finite volume component of the method is adapted from the authors' construction, for hyperbolic conservation laws and rectangular ...
P. Arminjon, A. Madrane
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Mortar finite volume element method with Crouzeix–Raviart element for parabolic problems

Applied Numerical Mathematics, 2008
\textit{P. Chatzipantelidis} [Numer. Math. 82, No.3, 409-432 (1999; Zbl 0942.65131)] has analyzed the finite volume element method based on the Crouzeix-Raviart element [cf. \textit{M. Crouzeix} and \textit{P. A. Raviart}, Rev. Franc. Automat. Inform. Rech. Operat.
Bi, Chunjia, Chen, Wenbin
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Finite Element and Finite Volume Methods

2009
In this chapter we consider finite element and finite volume discretisations of $$Lu\,: = - \varepsilon u'' - bu' + cu = f\,\,{\rm in}\,(0,1), \,\,\ u(0) = u (1) = 0,$$ with b ≥ β > 0. Its associated variational formulation is: Find \(u \in H_0^1 (0,1)\) such that $$a(u, v) = f(v)\,\,\, {\rm for\, all}\,\, v \in H_0^1 (0,1),$$ (5.2 ...
openaire   +1 more source