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Solution of parabolic problems defined on 3D domains, with boundary conditions involving normal derivative

Abstract

Many parabolic problems, expecially in heat transfer, are subject to boundary conditions involving the normal derivative, such as flux, convective or radiative boundary conditions. This paper presents a method for the solution of parabolic problems defined over 3D domains of general shape approximated by means of polyhedra with boundary conditions involving the normal derivative. The differential operator and the normal derivative are discretized by generalized finite difference techniques on a non-uniform orthogonal cartesian grid. Numerical examples are presented.
Publication Date:
Dec 31, 1991
Product Type:
Conference
Report Number:
ETDE-IT-93-15; CONF-9108230-1
Reference Number:
SCA: 420400; 990200; PA: ITA-93:000028; SN: 93000925402
Resource Relation:
Conference: 1. Baltic heat transfert conference,Goteborg (Sweden),26-30 Aug 1991; Other Information: PBD: 1991
Subject:
42 ENGINEERING; 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; HEAT TRANSFER; NUMERICAL SOLUTION; BOUNDARY CONDITIONS; FINITE DIFFERENCE METHOD; CARTESIAN COORDINATES; 420400; 990200; HEAT TRANSFER AND FLUID FLOW; MATHEMATICS AND COMPUTERS
OSTI ID:
10118582
Research Organizations:
Ente Nazionale per l`Energia Elettrica, Milan (Italy). Centro di Ricerca Idraulica e Strutturale; Milan Univ. (Italy). Ist. di Matematica
Country of Origin:
Italy
Language:
English
Other Identifying Numbers:
Other: ON: DE93758888; TRN: 93:000028
Availability:
OSTI; NTIS (US Sales Only)
Submitting Site:
ITA
Size:
15 p.
Announcement Date:
Jun 30, 2005

Citation Formats

Pennati, V, De Biase, L, and Failla, S. Solution of parabolic problems defined on 3D domains, with boundary conditions involving normal derivative. Italy: N. p., 1991. Web.
Pennati, V, De Biase, L, & Failla, S. Solution of parabolic problems defined on 3D domains, with boundary conditions involving normal derivative. Italy.
Pennati, V, De Biase, L, and Failla, S. 1991. "Solution of parabolic problems defined on 3D domains, with boundary conditions involving normal derivative." Italy.
@misc{etde_10118582,
title = {Solution of parabolic problems defined on 3D domains, with boundary conditions involving normal derivative}
author = {Pennati, V, De Biase, L, and Failla, S}
abstractNote = {Many parabolic problems, expecially in heat transfer, are subject to boundary conditions involving the normal derivative, such as flux, convective or radiative boundary conditions. This paper presents a method for the solution of parabolic problems defined over 3D domains of general shape approximated by means of polyhedra with boundary conditions involving the normal derivative. The differential operator and the normal derivative are discretized by generalized finite difference techniques on a non-uniform orthogonal cartesian grid. Numerical examples are presented.}
place = {Italy}
year = {1991}
month = {Dec}
}