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Explicit finite-volume method

New Trends in Multiresolution and Adaptive Methods
for Convection-Dominated Problems

New Trends in Multiresolution and Adaptive Methods for Convection-Dominated Problems

... recently, explicit and implicit finite volume solvers on adaptively refined meshes have been coupled with adjoint techniques to control the time step- sizes for the solution of weakly unstationary ...

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A Reconstruction based Finite Volume Method for Diffusion Equation on Unstructured Grids.

A Reconstruction based Finite Volume Method for Diffusion Equation on Unstructured Grids.

... an explicit jacobian matrix is calculated for usage as a preconditioner [6, ...This method is very advantageous as it reduces the number of function evaluations ...

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On supra-convergence of the finite volume method for the linear
advection problem

On supra-convergence of the finite volume method for the linear advection problem

... the explicit finite volume scheme for solving a non-steady convection ...the finite volume scheme amounts to the study of the geometric correctors if the continuous solution is regular ...

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A Recovered Finite Volume Method for Diffusion Equations on Unstructured Grids.

A Recovered Finite Volume Method for Diffusion Equations on Unstructured Grids.

... It is observed that all cases we present in this section need thousands of time steps to achieve a steady state using an explicit method. The application of GMRES scheme leads to a remarkable improvement ...

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Instantaneous and noninstantaneous dissolution: approximation by the finite volume method

Instantaneous and noninstantaneous dissolution: approximation by the finite volume method

... function across @K . An implicit approximation is also possible, and the existence of a solution of the resulting nonlinear system of equations can be easily proven by a xed point method 9]. The study of the ...

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Combined Nodal Method and Finite Volume Method for Flow in Porous Media

Combined Nodal Method and Finite Volume Method for Flow in Porous Media

... of explicit finite volume upwind schemes for solv- ing purely advective transport in the absence of gravity and capillary ...Newton-Raphson method to solve the implicit ...

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Compositional Modeling of Two-Phase Flow in Porous Media Using Semi-Implicit Scheme

Compositional Modeling of Two-Phase Flow in Porous Media Using Semi-Implicit Scheme

... an explicit scheme, where one does not have to solve any ...However, explicit schemes are conditionally stable with very restrictive size of the time ...mixed-hybrid finite element method ...

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Evaluation of numerical integration schemes for a partial integro differential equation

Evaluation of numerical integration schemes for a partial integro differential equation

... – finite difference methods and the Fourier series method. Finite difference methods can be used to numerically solve an equation such as a PDE by discretising both time and space into a grid with ...

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Solving one dimensional heat equation and groundwater flow modeling using finite difference method

Solving one dimensional heat equation and groundwater flow modeling using finite difference method

... For chapter three, we explain about the algorithm of explicit, implicit and Crank-Nicolson method in order to solve the one dimensional of heat equation. We also give the example for all the methods. ...

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On some slope-limiter methods for the linear advection equation

On some slope-limiter methods for the linear advection equation

... Abstract: In this paper, we propose two slope-limiter methods for solving hyperbolic conservation laws. The methods are developed through flux formulation with piecewise linear construction and applied to solve the ...

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Simulation of Reinforced Reactive Injection Molding with the Finite Volume Method

Simulation of Reinforced Reactive Injection Molding with the Finite Volume Method

... the Finite-Element-Method (FEM) to simulate the RRIM process ...hand, Finite-Volume-based solvers, representing the state of research, focus on thermoplastic injection molding using ...

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Immersed Boundary Method for Generalised Finite Volume and Finite Difference Navier-Stokes Solvers

Immersed Boundary Method for Generalised Finite Volume and Finite Difference Navier-Stokes Solvers

... Permanent repository link: http://openaccess.city.ac.uk/6940/ Link to published version: http://dx.doi.org/10.1016/j.jcp.2010.08.021 Copyright and reuse: City Research Online aims to mak[r] ...

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A Mass Conservative Method for Numerical Modeling of Axisymmetric flow

A Mass Conservative Method for Numerical Modeling of Axisymmetric flow

... cell-centered finite volume ...MPFA method has been employed and the least square method is applied to express the full discrete form of the vertex-values of the hydraulic ...standard ...

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Finite volume method in curvilinear coordinates for hyperbolic conservation laws⋆

Finite volume method in curvilinear coordinates for hyperbolic conservation laws⋆

... In this paper, nite volume methods in general urvilinear oordinates for hyperboli onservation laws have. been investigated[r] ...

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A finite volume method for density driven flows in porous media

A finite volume method for density driven flows in porous media

... semi-implicit finite volume method for the numerical simulation of density driven flows in porous media; this amounts to solving a nonlinear convection-diffusion par- abolic equation for the ...

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A method for the approximation of incremental understanding of explicit utterance meaning using predictive models in finite domains

A method for the approximation of incremental understanding of explicit utterance meaning using predictive models in finite domains

... in finite semantic ...user’s explicit utterance meaning can be derived from an existing predictive understand- ing model in an example ...new method in a corpus evalu- ation, showing that the ...

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A Fitted Finite Volume Method for Unit linked Policy with Surrender Option

A Fitted Finite Volume Method for Unit linked Policy with Surrender Option

... inequality method and the optimal exercise boundary method as well as numerical method have been given in ...front-fixing finite element method have been developed (see [2]) to solve ...

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A Cell-Vertex Finite Volume Time Domain Method for Electromagnetic Scattering

A Cell-Vertex Finite Volume Time Domain Method for Electromagnetic Scattering

... based finite volume ...centered finite volume schemes, the degenerate point is not a problem as the conserved variables are stored at cell ...vertex method, the values of the state ...

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Damage Detection in Beam-like Structures Applying Finite Volume Method

Damage Detection in Beam-like Structures Applying Finite Volume Method

... utilizing finite volume method in solid mechanic problems can be found in [23] (about dynamic solid mechanics problems), [24] (about large strain problems), [25] (about dynamic fracture problems) and ...

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A control volume-based finite element method for plane micropolar elasticity

A control volume-based finite element method for plane micropolar elasticity

... Incorporating nonlocal theories into numerical methods for predicting the behaviour of loaded heterogeneous materials is not as straightforward as with classical elasticity theory. Gradient theories ideally require inter ...

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