Finite Element Analysis of Cascade Flow with Varying Flow Rate

Analysis of Total Variation Flow and Its Finite Element Approximations∗

We study the gradient flow for the total variation functional, which arises in image processing and geometric applications. We propose a variational inequality weak formulation for the gradient flow, and establish well-posedness of the problem by the energy method. The main idea of our approach is to exploit the relationship between the regularized gradient flow (characterized by a small positi...

Finite Element Analysis of Fluid Flow Using Variational Approach

A Finite Element Model for Simulating Flow around a Well with Helically Symmetric Perforations

In a perforated well, fluids enter the wellbore through array of perforation tunnels. These perforations are typically distributed in a helical pattern around the wellbore. Available numerical models to simulate production flow into cased-and-perforated vertical wells have complicated boundary conditions or suffer from high computational costs. This paper presents a simple and at the same time ...

Mixed finite element methods for viscoelastic flow analysis: A review

The progress made during the past decade in the application of mixed finite element methods to solve viscoelastic flow problems using differential constitutive equations is reviewed. The algorithmic developments are discussed in detail. Starting with the classical mixed formulation, the elastic viscous stress splitting (EVSS) method as well as the related discrete EVSS and the so-called EVSS-G ...

Adaptive Finite Element Methods in Flow Computations

This article surveys recent developments of theory-based methods for mesh adaptivity and error control in the numerical solution of flow problems. The emphasis is on viscous incompressible flows governed by the Navier-Stokes equations. But also inviscid transsonic flows and viscous lowMach number flows including chemical reactions are considered. The Galerkin finite element method provides the ...