The work presented in this thesis documents the simulation of wave induced forces on semi submerged horizontal cylinders in OpenFOAM, utilizing the blending method for generation and damping of waves. The blending method is not included with OpenFOAM and thus required development before it could be employed. Both a linear Airy wave model and a fifth order stokes wave model are implemented. The ...

Currently used finite volume methods are essentially low order methods. In this paper, we present a systematic way to derive higher order finite volume schemes from higher order mixed finite element methods. Mostly for convenience but sometimes from necessity, our procedure starts from the hybridization of the mixed method. It then approximates the inner product of vector functions by an approp...

In this paper, we consider the issue of convergence toward entropy solutions for high order finite volume weighted essentially non-oscillatory (WENO) scheme and discontinuous Galerkin (DG) finite element method approximating scalar nonconvex conservation laws. Although such high order nonlinearly stable schemes can usually converge to entropy solutions of convex conservation laws, convergence m...

introduction: recently, magnetic resonance spectroscopic imaging (mrsi), as a functional imaging method, has been used for clinical target volume definition. in this study, we used this method to define the target volume in prostate radiotherapy. material and method: in this study, we used images of 20 prostate cancer cases. mrsi and mri images were fused with ct images. then, treatment plannin...

The coupling of cell-centered finite volume method with primal discontinuous Galerkin method is introduced in this paper for elliptic problems. Convergence of the method with respect to the mesh size is proved. Numerical examples confirm the theoretical rates of convergence. Advantages of the coupled scheme are shown for problems with discontinuous coefficients or anisotropic diffusion matrix.

We derive a posteriori error estimates for the discretization of the heat equation in a unified and fully discrete setting comprising the discontinuous Galerkin, finite volume, mixed finite element, and conforming and nonconforming finite element methods in space and the backward Euler scheme in time. Our estimates are based on a H-conforming reconstruction of the potential, continuous and piec...

A numerical method for the reconstruction of interfaces in finite volume schemes for multiphase flows is presented. The computation of the triple-point at the intersection of three materials in two dimensions of space is addressed. The determination of the normal vectors between pairs of materials is obtained with a finite element approximation. A numerical method for the localization of a trip...

introduction:the assessment of intravascular volume in severely traumatized patients or patients admitted in icu is very essential. at present the accurate method for estimating the intravascular volume requirement is by measuring the cvp which is an invasive method. the measurement of ivc diameter by ultrasound has been suggested as an easily available and simple method for measuring the intra...