The domain deformation method has been applied successfully to steady state free surface flows where the volume of the flow domain is unknown [V.F. de Almeida, Gas–liquid counterflow through constricted passages, Ph.D. thesis, University of Minnesota, Minneapolis, MN 1995; P.A. Sackinger, P.R. Schunk, R.R. Rao, A Newton–Raphson pseudo-solid domain mapping technique for free and moving boundary ...

Progress in the development of a homotopy continuation method to globalize the spatiallydiscretized steady flow equations in computational fluid dynamics (CFD) is presented. The algorithm contains many new features developed specifically for application to the large sparse highly parallelized systems encountered in modern CFD. A second-difference dissipation operator common in finite-difference...

Application of nonlinearity continuation method to numerical solution steady-state groundwater flow in variably saturated conditions is presented. In order solve the system nonlinear equations obtained by finite volume discretization Richards equation, a series problems with increasing are solved using Newton method. This approach compared pseudo-transient on several test cases, including real ...

A reactive distillation plant is one of the most important and “delicate” functional components of a complex chemical plant. While its steady state modeling and simulation tend to become a standard today by using some well known dedicated software tools, only little is known about the dynamic simulation in the open literature. This paper presents the principles for a modern modeling approach wi...

We look at multigrid methods for unsteady viscous compressible flows. We specifically target smoothers that can be used in parallel and without computation of a Jacobian, which are particlarly attractive candidates in the context of Discontinuous Galerkin discretizations. In CFD, a plethora of nonlinear smoothers have been suggested which are hard to analyze. Our methodology is to use a linear ...

A coupled variational equation for fluid–solid interaction (FSI) problems is derived using a steady state Navier–Stokes equation for incompressible flows, an equilibrium equation for geometrically nonlinear solids, a traction continuity condition at interfaces, and a pseudo-equilibrium equation for mesh velocity. The moving boundary in arbitrary Lagrangian–Eulerian (ALE) formulation is included...

A cell-vertex finite volume method is used to discretize the Euler equations on unstructured triangular meshes. A five-stage Runge-Kutta pseudo-time integration scheme is used to march the solution to steady state. Non-linear artificial viscosity is added to eliminate pressure-velocity decoupling and to capture shocks. The boundary conditions at inflow and outflow are based on the method of cha...

Modeling and computational simulation of the carbon monoxide oxidation process, taken as a key system to analyze importance dynamic description active sites into process yield, are presented in this work. To aim, formalism transport phenomena population balances used implement realistic model that involves heat exchange, transfer mass momentum, chemical reaction, catalyst deactivation. The is s...