A conservative finite difference method designed to capture elastic wave propagation in viscoelastic fluids in two space dimensions is presented. The governing equations are the incompressible Navier-Stokes equations coupled to the Oldroyd-B constitutive equations for viscoelastic stress. The equations are cast into a hybrid conservation form to make use of a second-order upwind method to treat...

Abstract. This paper studies the global existence and regularity of classical solutions to the 2D incompressible magneto-micropolar equations with partial dissipation. The magneto-micropolar equations model the motion of electrically conducting micropolar fluids in the presence of a magnetic field. When there is only partial dissipation, the global regularity problem can be quite difficult. We ...

In this introductory review article, we explore the special relativistic equations of particle motions and the consequent derivation of Einstein's famous formula E = mc 2. Next, we study the special relativistic electromagnetic field equations and generalizations of Lorentz equations of motion for charged particles. We then introduce the special relativistic gravitational field as a symmetric s...

Kress, W. 2003. High Order Finite Difference Methods in Space and Time. Acta Universitatis Upsaliensis. Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology 880. 28 pp. Uppsala. ISBN 91-554-5721-5 In this thesis, high order accurate discretization schemes for partial differential equations are investigated. In the first paper, the linearized two-dimensiona...

Whether the 3D incompressible Euler and Navier–Stokes equations can develop a finite-time singularity from smooth initial data with finite energy has been one of the most long-standing open questions. We review some recent theoretical and computational studies which show that there is a subtle dynamic depletion of nonlinear vortex stretching due to local geometric regularity of vortex filaments...

Pre-sedimentation basins are among the most important elements of the conventional water treatment process. In pre-sedimentation basins, due to different velocity gradients, secondary and rotational flows are formed that will create short paths and increase dead and still flow zones as well as changes in the flow mixing. This will prevent laminar flow conditions for sedimentation and will reduc...

The paper concerns with an iterative technique for solving discretized Stokes type equations with varying viscosity coefficient. We build a special block preconditioner for the discrete system of equations and perform an analysis revealing its properties. The subject of this paper is motivated by numerical solution of incompressible non-Newtonian fluid equations. In particular, the general anal...

the aim of the current study was to predict marital satisfaction from the magnitude of their forgiveness. the research design was correlational study and the same vein, to fulfill the stated goal 88 mothers of children with intellectual and developmental disabilities by means of accessible sampling procedure, and afrooz marital satisfaction (2011) as well as enright forgiveness inventory standa...

The present work introduces a modified scheme for the solution of compressible 2-D full Navier-Stokes equations, using Flux Vector Splitting method. As a result of this modification, numerical diffusion is reduced. The computer code which is developed based on this algorithm can be used easily and accurately to analyze complex flow fields with discontinuity in properties, in cases such as shock...