A strongly implicit method for the solution of transient incompressible viscous flow problems

Nicholas DiZinno, George Vradis

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A new method for the solution of time-dependent incompressible viscous flow problems is introduced. The method takes advantage of a predominant flow direction and strongly couples the pressure and velocity fields. The governing equations, using primitive variables, are discretized on a staggered grid, and the solution is generated by a line-by-line sweep of the flow field. Along each computational line, the equations are solved using an efficient block-tridiagonal algorithm. The method is fully implicit and does not have any of the drawbacks of existing methods. Numerical experiments show the method to be robust and efficient. Application of the method to canonical problems in fluid mechanics are presented.

Original languageEnglish (US)
Title of host publication51st AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition 2013
StatePublished - 2013
Event51st AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition 2013 - Grapevine, TX, United States
Duration: Jan 7 2013Jan 10 2013

Other

Other51st AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition 2013
CountryUnited States
CityGrapevine, TX
Period1/7/131/10/13

Fingerprint

incompressible flow
viscous flow
Viscous flow
primitive equations
fluid mechanics
Fluid mechanics
pressure distribution
Flow fields
flow distribution
velocity distribution
grids
Experiments
finite difference method
flow field
method

ASJC Scopus subject areas

  • Space and Planetary Science
  • Aerospace Engineering

Cite this

DiZinno, N., & Vradis, G. (2013). A strongly implicit method for the solution of transient incompressible viscous flow problems. In 51st AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition 2013

A strongly implicit method for the solution of transient incompressible viscous flow problems. / DiZinno, Nicholas; Vradis, George.

51st AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition 2013. 2013.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

DiZinno, N & Vradis, G 2013, A strongly implicit method for the solution of transient incompressible viscous flow problems. in 51st AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition 2013. 51st AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition 2013, Grapevine, TX, United States, 1/7/13.
DiZinno N, Vradis G. A strongly implicit method for the solution of transient incompressible viscous flow problems. In 51st AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition 2013. 2013
DiZinno, Nicholas ; Vradis, George. / A strongly implicit method for the solution of transient incompressible viscous flow problems. 51st AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition 2013. 2013.
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