Published December 1986 | Version v1
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CIP - a new numerical solver for general nonlinear hyperbolic equations in multi-dimension

Creators

Description

A new method CIP (Cubic-Interpolated Pseudo-particle) to solve hyperbolic equations is proposed. The method gives a stable and less diffusive result for square wave propagation compared with FCT (Flux-Corrected Transport) and a better result for propagation of a sine wave with a discontinuity. The scheme is extended to nonlinear and multi-dimensional problems. (orig.)

Availability note (English)

MF available from INIS under the Report Number.

Abstract (German)

Es wird eine neue Methode CIP (Cubic-Interpolated Pseudo-particle) zur Loesung hyperbolischer Gleichungen vorgeschlagen. Mit dieser Methode erhaelt man stabile und weniger verwaschene Loesungen fuer die Propagation einer Rechteck-Welle und einer Sinus-Welle mit Unstetigkeit als mit der FCT (Flux-Corrected Transport) Methode. Die Methode wird in dieser Arbeit auch auf nichtlineare und mehrdimensionale Probleme erweitert. (orig.)

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Additional details

Publishing Information

Imprint Pagination
70 p.
Report number
KFK--4154

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
18042985
Subject category
S99: GENERAL AND MISCELLANEOUS;
Descriptors DEI
C CODES; FORTRAN; INTERPOLATION; MANY-DIMENSIONAL CALCULATIONS; NONLINEAR PROBLEMS; NUMERICAL SOLUTION; ONE-DIMENSIONAL CALCULATIONS; PARTIAL DIFFERENTIAL EQUATIONS; SHOCK WAVES; SINGULARITY; WAVE PROPAGATION
Descriptors DEC
COMPUTER CODES; DIFFERENTIAL EQUATIONS; EQUATIONS; PROGRAMMING LANGUAGES

Optional Information

Notes
FACOM VP100, IBM3090, SIEMENS-7890.