Published April 1976 | Version v1
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The application of Fast Fourier transforms to the primitive equations of Boussinesq convection

Creators

  • 1. Manchester Univ. (UK). Dept. of Mathematics

Description

We have described a numerical scheme which is second-order in both space and time. The use of Fast Fourier Transform techniques for the solution of pressure equation guarantees accurate incompressibility at all time and enabled us to consider using iteration for part of this scheme. The iterations converge satisfactorily for values of the timestep of the order of one-half to one-quarter of the space step. Numerical calculations are being undertaken to clarify the range of Reynolds numbers and timestep over which the iteration converges. (orig.)

Abstract (German)

Ein numerisches Modell in zweiter Ordnung in Raum und Zeit wird beschrieben. Die Verwendung schneller Fouriertransformationstechniken zur Loesung der Druckgleichung garantiert fuer alle Zeiten exakte Inkompressibilitaet und ermoeglicht mit Hilfe von Iterationen fuer einen Teil dieses Modells weitere Betrachtungen. Fuer Zeitschrittweiten in der Groessenordnung von 1/2 bis 1/4 der raeumlichen Schrittweite konvergieren die Iterationen zufriedenstellend. Zur Klaerung des Konvergenzbereichs der Reynold-Zahlen und der zeitlichen Schrittweite wurden numerische Rechnungen durchgefuehrt. (orig.)

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Additional details

Publishing Information

Imprint Title
Computing in plasma physics and astrophysics. Proceedings
Imprint Pagination
vp.
Report number
IPP--6/147

Conference

Title
2. European conference on computational physics.
Dates
27 Apr 1976.
Place
Garching/Muenchen, Germany, F.R.

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
8313936
Subject category
S75: CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY;
Resource subtype / Literary indicator
Conference
Descriptors DEI
CONVECTION; FOURIER TRANSFORMATION; INCOMPRESSIBLE FLOW; NUMERICAL SOLUTION; REYNOLDS NUMBER
Descriptors DEC
ENERGY TRANSFER; FLUID FLOW; HEAT TRANSFER; INTEGRAL TRANSFORMATIONS; TRANSFORMATIONS

Optional Information

Notes
With refs.
Secondary number(s)
AED-Conf--76-237-033.