Results 241 to 250 of about 321,360 (287)
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1996
As in the previous chapter, we shall consider only the generic conservation equation for a quantity φ and assume that the velocity field and all fluid properties are known. The finite volume method uses the integral form of the conservation equation as the starting point: $$\int_S \rho\phi\upsilon\,\cdot n\,{\text{d}}S = \int_S \Gamma\,{\text{grad}}
Joel H. Ferziger, Milovan Perić
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As in the previous chapter, we shall consider only the generic conservation equation for a quantity φ and assume that the velocity field and all fluid properties are known. The finite volume method uses the integral form of the conservation equation as the starting point: $$\int_S \rho\phi\upsilon\,\cdot n\,{\text{d}}S = \int_S \Gamma\,{\text{grad}}
Joel H. Ferziger, Milovan Perić
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Extrapolation for Finite Volume Approximations
SIAM Journal on Scientific Computing, 2003The authors present extrapolation methods for finite volume approximations of second-order elliptic boundary value problems in convex two-dimensional domains. At first some asymptotic error expansions for interpolation are derived, extrapolation schemes for the finite element method are discussed, and a new finite volume scheme which is based on an ...
Ma, Xiuling, Mao, Dong, Zhou, Aihui
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2018
One major difference between the finite difference method (FDM) and the finite volume method (FVM) is that the FVM is based on the integral form of the governing equations instead of the differential form. In the FVM, this discretization is conducted over each control volume, which endows FVM with advantages of mass conservation and unstructured meshes.
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One major difference between the finite difference method (FDM) and the finite volume method (FVM) is that the FVM is based on the integral form of the governing equations instead of the differential form. In the FVM, this discretization is conducted over each control volume, which endows FVM with advantages of mass conservation and unstructured meshes.
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Finite-volume lattice Boltzmann method
Physical Review E, 1999We present a finite-volume formulation for the lattice Boltzmann method (FVLBM) based on standard bilinear quadrilateral elements in two dimensions. The accuracy of this scheme is demonstrated by comparing the velocity field with the analytical solution of the Navier-Stokes equations for time dependent rotating Couette flow and Taylor vortex flow.
H, Xi, G, Peng, S H, Chou
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Zonal Multiscale Finite-Volume framework
Journal of Computational Physics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cortinovis, Davide, Jenny, Patrick
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2002
The Finite Volume Method (FVM) was introduced into the field of computational fluid dynamics in the beginning of the seventies (McDonald 1971, Mac-Cormack and Paullay 1972). From the physical point of view the FVM is based on balancing fluxes through control volumes, i. e. the Eulerian concept is used (see section 1.1.4).
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The Finite Volume Method (FVM) was introduced into the field of computational fluid dynamics in the beginning of the seventies (McDonald 1971, Mac-Cormack and Paullay 1972). From the physical point of view the FVM is based on balancing fluxes through control volumes, i. e. the Eulerian concept is used (see section 1.1.4).
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1999
As demonstrated in the preceding chapters, the errors in most numerical solutions increase dramatically as the physical scale of the simulated disturbance approaches the minimum scale resolvable on the numerical mesh. When solving equations for which smooth initial data guarantees a smooth solution at all later times, such as the barotropic vorticity ...
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As demonstrated in the preceding chapters, the errors in most numerical solutions increase dramatically as the physical scale of the simulated disturbance approaches the minimum scale resolvable on the numerical mesh. When solving equations for which smooth initial data guarantees a smooth solution at all later times, such as the barotropic vorticity ...
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Finite Element and Finite Volume Methods
2009In 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 ...
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Long-term drying of Mars by sequestration of ocean-scale volumes of water in the crust
Science, 2021Eva L Scheller, B L Ehlmann, Renyu Hu
exaly