Search Results - Finite volume methods applied to problems in applied mechanics

A vertex-based finite volume method applied to non-linear material problems in computational solid mechanics by Taylor, G. A., Bailey, C., Cross, M.

“…A vertex‐based finite volume (FV) method is presented for the computational solution of quasi…”
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Stable and locally mass- and momentum-conservative control-volume finite-element schemes for the Stokes problem by Schneider, Martin, Koch, Timo

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A second-order face-centred finite volume method for elliptic problems by Vieira, Luan M., Giacomini, Matteo, Sevilla, Ruben, Huerta, Antonio

“…A second-order face-centred finite volume method (FCFV) is proposed. Contrary to the more popular cell-centred and vertex-centred finite volume (FV…”
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An improved MPM formulation for free surface flow problems based on finite volume method by He, Kai-Yuan, Jin, Yin-Fu, Zhou, Xi-Wen, Yin, Zhen-Yu, Chen, Xiangsheng

“…•Novel FVMPM framework: Introduces a semi-implicit finite-volume MPM formulation that accurately imposes Neumann conditions on irregular geometries within a Cartesian grid…”
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A sixth-order finite volume method for multidomain convection–diffusion problem with discontinuous coefficients by Clain, S., Machado, G.J., Nóbrega, J.M., Pereira, R.M.S.

“…•Sixth-order finite volume method for 2D convection–diffusion problem.•Polynomial reconstructions for unstructured meshes…”
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A finite volume method for advection–diffusion problems in convection-dominated regimes by Manzini, Gianmarco, Russo, Alessandro

“…We present a finite volume method for the numerical approximation of advection–diffusion problems in convection-dominated regimes…”
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A new approach to solving the solid mechanics problems with matter supply by Ivanova, Elena A., Jatar Montaño, Luis Eduardo

“…We discuss some aspects of using the spatial description and the finite volume method as applied to the solid mechanics problems…”
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Subcycling Strategy for Finite‐Volume Updated‐Lagrangian Methods Applied to Fluid–Structure Interaction by Chantrait, Teddy, Chevaugeon, Nicolas, Del Pino, Stéphane, Gangloff, Alexandre, Labourasse, Emmanuel

“…–structure interaction (FSI) problems. The method is fully conservative, ensuring the local conservation of mass, momentum, and energy, which is crucial for accurately capturing strong shock interactions. Using an updated‐Lagrangian finite…”
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A cell-vertex finite volume method for thermohydrodynamic problems in lubrication theory by Durany, J., Pereira, J., Varas, F.

“… The numerical method to calculate the pressure involves finite element approximations jointly with upwind techniques for convection and duality algorithms for non-linearities…”
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Extended finite volume method for problems with arbitrary discontinuities: Extended finite volume method for problems with arbitrary by Marzok, Ameer

“… The method relies on the finite volume and extended finite element methods. The proposed approach builds on the foundations of the recently introduced Dual Mesh Control Domain Method (DMCDM…”
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A hybrid level-set / embedded boundary method applied to solidification-melt problems by Limare, A., Popinet, S., Josserand, C., Xue, Z., Ghigo, A.

“… This leads to a two-fluid conservative second-order numerical method. The ability of the method to correctly solve Stefan problems, onset dendrite growth with and without anisotropy is demonstrated through a variety of test cases. Finally, we take advantage of the two-fluid representation to model a Rayleigh–Bénard instability with a melting boundary…”
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Symmetric finite volume discretizations for parabolic problems by Ma, Xiuling, Shu, Shi, Zhou, Aihui

“…Based on a linear finite element space, in this paper, one semi-discrete symmetric finite volume scheme and two full discrete symmetric finite volume schemes for a class of parabolic problems are presented and analyzed…”
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Superconvergence of finite volume methods for the second order elliptic problem by Chou, So-Hsiang, Ye, Xiu

“…This paper derives a superconvergence result for finite volume approximations of the second order elliptic problem by using a L 2 projection post-processing technique…”
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The mortar finite volume method with the Crouzeix–Raviart element for elliptic problems by Bi, Chunjia, Li, Likang

“…We construct and analyse a mortar finite volume method for the discretization for selfadjoint elliptic boundary value problems in R 2…”
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A penalty-based cell vertex finite volume method for two-dimensional contact problems by Xuan, Lingkuan, Yan, Chu, Gong, Jingfeng, Li, Chenqi, Li, HongGang

“…In this paper, a penalty-based cell vertex finite volume method (P-CV-FVM) is proposed for the computation of two-dimensional contact problems…”
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Current Problems and Advances in Computational and Applied Mechanics

“… Computational mechanics offers design flexibility, sophistication, and experimentation, enabling engineers to analyse complex design problems and optimisation solutions efficiently at reduced costs…”
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Advanced Mathematical Modeling and Numerical Solutions in Applied Mechanics and Engineering

“… “Advanced Mathematical Modeling and Numerical Solutions in Applied Mechanics and Engineering…”
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Free vibration and buckling of functionally graded porous beams using analytical, finite element, and artificial neural network methods by Turan, Muhittin, Uzun Yaylacı, Ecren, Yaylacı, Murat

“…) subjected to various boundary conditions. Also, this problem is solved by using finite element (FEM…”
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Dual-solver research based on the coupling of flux reconstruction and finite volume methods by Fu, Hao, Xia, Jian, Tian, Shuling, Chen, Long

“… In current research, we develop a dual-solver fluid solving system, in which the near-body region uses traditional finite volume method for complex geometries treatment, and apply high-order flux reconstruction (FR…”
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Effective data sampling strategies and boundary condition constraints of physics-informed neural networks for identifying material properties in solid mechanics by Wu, W., Daneker, M., Jolley, M. A., Turner, K. T., Lu, L.

“… In this work, we identify unknown material properties in continuum solid mechanics via physics-informed neural networks (PINNs…”
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