finite volume method for one dimensional biot poroelasticity system in multilayered domains

On a multigrid solver for the three- dimensional Biot poroelasticity system in multilayered domains

In this paper, we present problem–dependent prolongation and problem–dependent restriction for a multigrid solver for the three-dimensional Biot poroelasticity system, which is solved in a multilayered domain. The system is discretized on a staggered grid using the finite volume method. During the discretization, special care is taken of the discontinuous coefficients. For the efficient multigr...

Three-dimensional numerical modeling of score hole in rectangular side weir with finite volume method

Local scouring in the downstream of hydraulic structures is one of the important issues in river and hydraulic engineering, which involves a lot of costs every year, so the prediction of the rate of scour is important in hydraulic design. Side weirs are the most important of hydraulic structures that are used in passing flow. This study investigate the scouring due to falling jet from side weir...

Isovector fields and similarity solutions for one-dimensional linear poroelasticity

Very high-order finite volume method for one-dimensional convection diffusion problems

We propose a new finite volume method to provide very high-order accuracy for the convection diffusion problem. The main tool is a polynomial reconstruction based on the mean-value to provide the best order. Numerical examples are proposed to show the method efficiency. Key–Words: Finite Volume, very high-order, convection-diffusion, polynomial reconstruction.

First- and second-order finite volume methods for the one-dimensional nonconservative Euler system

Gas flow in porous media with a nonconstant porosity function provides a nonconservative Euler system. We propose a new class of schemes for such a system for the one-dimensional situations based on nonconservative fluxes preserving the steady-state solutions. We derive a second-order scheme using a splitting of the porosity function into a discontinuous and a regular part where the regular par...

One-dimensional blood flow modelling in the human arterial system with Finite Volume Methods

In this thesis, it is investigated how the blood flow changes in different physiological situations, using a one-dimensional model, that describes the blood flow in compliant vessels. The one-dimensional model, that describes the blood flow, is derived based on the physical laws of conservation of momentum and conservation of mass. A high resolution flux differencing scheme is applied to a sten...