[PDF] Top 20 A Reconstruction based Finite Volume Method for Diffusion Equation on Unstructured Grids.

... A reconstruction based discontinuous method is explained by Luo et al for Navier Stokes ...squares reconstruction is used here to extrapolate a smooth solution using inter cell ... See full document

... advection–diffusion equation on unstructured grids were ...addition, volume conservation errors were lower than 1 % of the total volume of the Guaíba ... See full document

... Unfortunately, neither of these two approaches possesses all the properties given in the background introduction of this paper. Both of them are not consistent on non-uniform meshes, and neither of them can satisfy ... See full document

... a finite volume discretization of the Poisson ...a method provides an attractive way to obtain fast simulations for 3D irregular ...parallel method has a high speedup, being more than 35 times ... See full document

... the finite element spaces, see, ...FOSLS method combined with an enrichment of the finite element space with bubble functions, or [29] for a streamline-based FOSLS ...FOSLS method was ... See full document

... standard finite difference ...standard finite differences schemes based on ghost points and extended staggered grids has not been fully analyzed ...standard finite differ- ences ... See full document

... discretize diffusion terms required for the Navier-Stokes equations remain the three most challenging and unresolved issues in the ...the finite element methods and finite vol- ume methods, the DGM ... See full document

... is based on the finite volume method of the cell-centered type with the Osher's- Solomon's approximation of the Riemann solver and a two-dimensional linear reconstruction with the Van ... See full document

... media. Based on the theory proposed by drying Luikov (Luikov, 1975) and later by Whitaker (Whitaker, 1977), several mathematical models for drying porous materials have been ...where unstructured mesh ... See full document

... a volume-fraction coupling term in the mass-flux, resulting in what is called the AUSM + -upf flux in this ...density-based method for the solution of the turbulent two-fluid single pressure model ... See full document

... us to look into the subject how to use the upwind FVEM to solve three-dimensional nonlinear convection-domi- nated diffusion problems. In this article, we continue to our work [17] and put forward an upwind FVEM ... See full document

... In summary, our development of the high order har- monic interpolation provides a full set of options for the user to choose from for their specific application. Besides being a better tool to achieve more accurate ... See full document

... The paper describes the theory of fractional derivative and specific application examples in the field of engineering sciences. On this basis, this paper mainly studies the low reaction-diffusion equations. First ... See full document

... In present work, the Cell Vertex Finite Volume Method is used to derive the discrete formulas of the governing equations on triangular unstructured meshes. The problem of growing up numerical ... See full document

... advection-diffusion equation based velocimetry method that was to be tested on generated synthetic images could function properly, gray level spatial and temporal gradients had to be ... See full document

... nonlinear method in Fig. 2. This study demonstrates that the method with linear crosswind diffusion was outperformed, with respect to the quality of the computed solution, by the nonlinear ... See full document

... ∆𝑥 . (7) But this slope is defined based on the assumption that the solution is smooth. Near a discontinuity there is no reason to believe that introducing this slope will improve the accuracy. Slope Limiters ... See full document

... In this study, we present a CV technique incorporating 1D-IRBFNs for the diffusion- convection equation in one and two dimensions. Like CV-RBF techniques [6,7], line integrals embracing gradients are ... See full document

... We will present a single test case showing the efficiency of our method in capturing the dynamical evolution of electrophysiological waves in a media with a secondary conduction anisotropy. A general strategy to ... See full document

... A code for generating triangular grids using the tri-tree algorithm has been written and an adaptive finite volume method developed for calculating laminar fluid flow.. The.[r] ... See full document