𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A fractional-step Taylor–Galerkin method for unsteady incompressible flows

✍ Scribed by H. Laval; L. Quartapelle

Publisher
John Wiley and Sons
Year
1990
Tongue
English
Weight
675 KB
Volume
11
Category
Article
ISSN
0271-2091

No coin nor oath required. For personal study only.

✦ Synopsis

This paper describes the application of the Taylor-Galerkin method to the calculation of incompressible viscous flows. A finite element fractional-step method for the Navier-Stokes equations is combined with the Taylor-Galerkin method to achieve an accurate treatment of the convection part of the problem. A scheme of second-order accuracy in time for the non-linear convection written in non-conservative form is presented. Numerical results are provided to illustrate the quality of the computed transient solutions in two dimensions.

📜 SIMILAR VOLUMES

A Vorticity-Based Method for Incompressi
A Vorticity-Based Method for Incompressible Unsteady Viscous Flows
✍ L. Qian; M. Vezza 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 731 KB

A novel approach is presented, based on the integral form of the vorticity formulation, in which the vorticity transport equation is solved by using the cell-centred finite-volume method, while the velocities needed at the centre of each control volume are calculated by a modified Biot-Savart formul

A High-Order Discontinuous Galerkin Meth
A High-Order Discontinuous Galerkin Method for 2D Incompressible Flows
✍ Jian-Guo Liu; Chi-Wang Shu 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 374 KB

In this paper we introduce a high-order discontinuous Galerkin method for twodimensional incompressible flow in the vorticity stream-function formulation. The momentum equation is treated explicitly, utilizing the efficiency of the discontinuous Galerkin method. The stream function is obtained by a

Pressure Stability in Fractional Step Fi
Pressure Stability in Fractional Step Finite Element Methods for Incompressible Flows
✍ Ramon Codina 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 509 KB

The objective of this paper is to analyze the pressure stability of fractional step finite element methods for incompressible flows that use a pressure Poisson equation. For the classical first-order projection method, it is shown that there is a pressure control which depends on the time step size,