Results 201 to 210 of about 91,915 (261)
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2019
The one-dimensional shallow water equations (SWE), or Saint-Venant equations, are a system of nonlinear hyperbolic conservations laws (Toro, Shock-capturing methods for free surface shallow flows. Wiley, Singapore, 2001). The mathematical meaning behind these “surnames” linked to the development of Saint-Venant is clearly elucidated by the definitions (
Oscar Castro-Orgaz, Willi H. Hager
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The one-dimensional shallow water equations (SWE), or Saint-Venant equations, are a system of nonlinear hyperbolic conservations laws (Toro, Shock-capturing methods for free surface shallow flows. Wiley, Singapore, 2001). The mathematical meaning behind these “surnames” linked to the development of Saint-Venant is clearly elucidated by the definitions (
Oscar Castro-Orgaz, Willi H. Hager
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Nonconforming Finite Volume Methods
Computational Geosciences, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2001
In Chapter 3, we saw how to derive finite-difference approximations to arbitrary derivatives. In Chapter 4, we saw that the application of a finite-difference approximation to the spatial derivatives in our model PDE’s produces a coupled set of ODE’s.
H. Lomax +2 more
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In Chapter 3, we saw how to derive finite-difference approximations to arbitrary derivatives. In Chapter 4, we saw that the application of a finite-difference approximation to the spatial derivatives in our model PDE’s produces a coupled set of ODE’s.
H. Lomax +2 more
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2021
Finite-volume methods (FVM)—sometimes also called box methods—are mainly employed for the numerical solution of problems in fluid mechanics, where they were introduced in the 1970s by McDonald, MacCormack, and Paullay. However, the application of the FVM is not limited to flow problems.
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Finite-volume methods (FVM)—sometimes also called box methods—are mainly employed for the numerical solution of problems in fluid mechanics, where they were introduced in the 1970s by McDonald, MacCormack, and Paullay. However, the application of the FVM is not limited to flow problems.
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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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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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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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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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