Finite element solutions of transonic flow problems

This paper describes the application of the characteristic-dissipative-Galerkin method to steady and unsteady open channel flow problems. The robust performance of this new finite element scheme is demonstrated in modeling the propagation of ice jam release surges over a 500 km reach of the Hay River in Alberta and Northwest Territories. This demonstration includes the automatic determination of steady flow profiles through supercritical–subcritical transitions, establishing the initial conditions for the unsteady flow analyses. The ice jam releases create a dambreak type of problem which begins as a very dynamic situation then develops into an essentially kinematic wave problem as the disturbance propagated downstream. The characteristic-dissipative-Galerkin scheme provided stable solutions not only for the extremes of dynamic and kinematic wave conditions, but also through the transition between the two. Key words: open channel flow, finite element method, dam break, surge propagation.

Download Full-text

On the application of a least squares residual-fitting finite element formulation to fluid flow problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(80)90064-x ◽

1980 ◽

Vol 24 (3) ◽

pp. 251-267 ◽

Cited By ~ 2

Author(s):

C.A.J. Fletcher

Keyword(s):

Finite Element ◽

Fluid Flow ◽

Least Squares ◽

Finite Element Formulation ◽

Element Formulation ◽

Flow Problems

Download Full-text

BLOOD FLOW IN CORONARY ARTERY BIFURCATION CALCULATED BY TURBULENT FINITE ELEMENT MODEL

10.46793/iccbi21.235n ◽

2021 ◽

Author(s):

Aleksandar Nikolić ◽

◽

Marko Topalović ◽

Milan Blagojević ◽

Vladimir Simić

Keyword(s):

Finite Element ◽

Blood Flow ◽

Kinetic Energy ◽

Finite Element Model ◽

Fluid Velocity ◽

Fluid Pressure ◽

Element Model ◽

Viscous Sublayer ◽

Flow Problems ◽

Analysis Of Results

Simulation of blood flow in this paper is analyzed using two-equation turbulent finite element model that can calculate values in the viscous sublayer. Implicit integration of the equations is used for determining the fluid velocity, fluid pressure, turbulence, kinetic energy, and dissipation of turbulent kinetic energy. These values are calculated in the finite element nodes for each step of incremental- iterative procedure. Developed turbulent finite element model, with the customized generation of finite element meshes, is used for calculating complex blood flow problems. Analysis of results showed that a cardiologist can use proposed tools and methods for investigating the hemodynamic conditions inside bifurcation of arteries.

Download Full-text