Coupled Finite Volume and Finite Element Method Analysis of a Complex Large-Span Roof Structure [PDF]
International Journal of Applied Mechanics and Engineering, 2017 The main goal of this paper is to present coupled Computational Fluid Dynamics and structural analysis for the precise determination of wind impact on internal forces and deformations of structural elements of a longspan roof structure. The Finite Volume
J. Szafran, K. Juszczyk, M. Kamiński
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Numerical Finite Element Method Homogenization of Composite Materials Reinforced With Fibers [PDF]
Communications, 2014 The paper presents the micromechanical modelling of fiber-reinforced composites in order to determine elastic properties of the homogenized material. For this purpose implementation of homogenization theory was required and analyses were performed.
Daniel Riecky +2 more
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Adaptive stabilized finite volume method and convergence analysis for the Oseen equations
Boundary Value Problems, 2018 In this paper, based on the pressure project method, we consider an adaptive stabilized finite volume method for the Oseen equations with the lowest equal order finite element pair. Firstly, we develop the discrete forms in both finite element and finite
Junxiang Lu, Tong Zhang
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The finite-volume method in computational rheology [PDF]
, 2012 The finite volume method (FVM) is widely used in traditional computational fluid dynamics (CFD), and many commercial CFD codes are based on this technique which is typically less demanding in computational resources than finite element methods (FEM ...
A.M. Afonso +13 more
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A Crank-Nicolson finite volume element method for two-dimensional Sobolev equations
Journal of Inequalities and Applications, 2016 In this paper, we provide a new type of study approach for the two-dimensional (2D) Sobolev equations. We first establish a semi-discrete Crank-Nicolson (CN) formulation with second-order accuracy about time for the 2D Sobolev equations. Then we directly
Zhendong Luo
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Advances in Difference Equations, 2021 We develop a fully discrete finite volume element scheme of the two-dimensional space-fractional convection–diffusion equation using the finite volume element method to discretize the space-fractional derivative and Crank–Nicholson scheme for time ...
Yanan Bi, Ziwen Jiang
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A higher order control volume based finite element method to prodict the deformation of heterogeneous materials [PDF]
, 2013 Materials with obvious internal structure can exhibit behaviour, under loading, that cannot be described by classical elasticity. It is therefore important to develop computational tools incorporating appropriate constitutive theories that can capture ...
Wheel, Marcus +2 more
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A control volume-based finite element method for plane micropolar elasticity [PDF]
, 2008 This paper describes the development of a numerical procedure for predicting deformations and stresses in a loaded two-dimensional membrane exhibiting micropolar or Cosserat constitutive behaviour. The procedure employs a conventional finite element (FE)
Wheel, M.A.
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A fully discrete evolving surface finite element method [PDF]
, 2012 In this paper we consider a time discrete evolving surface finite element method for the advection and diffusion of a conserved scalar quantity on a moving surface.
Dziuk, Gerhard, Elliott, Charles M.
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The Upwind Finite Volume Element Method for Two-Dimensional Burgers Equation
Abstract and Applied Analysis, 2013 A finite volume element method for approximating the solution to two-dimensional Burgers equation is presented. Upwind technique is applied to handle the nonlinear convection term.
Qing Yang
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