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Title: Thermoacoustic wave propagation modeling using a dynamically adaptive wavelet collocation method

Abstract

When a localized region of a solid wall surrounding a compressible medium is subjected to a sudden temperature change, the medium in the immediate neighborhood of that region expands. This expansion generates pressure waves. These thermally-generated waves are referred to as thermoacoustic (TAC) waves. The main interest in thermoacoustic waves is motivated by their property to enhance heat transfer by inducing convective motion away from the heated area. Thermoacoustic wave propagation in a two-dimensional rectangular cavity is studied numerically. The thermoacoustic waves are generated by raising the temperature locally at the walls. The waves, which decay at large time due to thermal and viscous diffusion, propagate and reflect from the walls creating complicated two-dimensional patterns. The accuracy of numerical simulation is ensured by using a highly accurate, dynamically adaptive, multilevel wavelet collocation method, which allows local refinements to adapt to local changes in solution scales. Subsequently, high resolution computations are performed only in regions of large gradients. The computational cost of the method is independent of the dimensionality of the problem and is O(N), where N is the total number of collation points.

Authors:
;  [1]
  1. Univ. of Notre Dame, IN (United States). Dept. of Aerospace and Mechanical Engineering
Publication Date:
OSTI Identifier:
442701
Report Number(s):
CONF-961105-
ISBN 0-7918-1523-4; TRN: IM9712%%126
Resource Type:
Conference
Resource Relation:
Conference: 1996 international mechanical engineering congress and exhibition, Atlanta, GA (United States), 17-22 Nov 1996; Other Information: PBD: 1996; Related Information: Is Part Of Proceedings of the ASME Heat Transfer Division. Volume 4: Natural convection within a horizontal circular cylinder heated from below and cooled from above; Numerical methods for coupled fluid-thermal-structural interaction; Thermal analysis in waste processing and disposal; Heat transfer in fire and combustion systems; HTD-Volume 335; Pepper, D.W. [ed.] [Univ. of Nevada, Las Vegas, NV (United States)]; Douglass, R.W. [ed.] [Idaho National Engineering Lab., Idaho Falls, ID (United States)]; Heinrich, J.C. [ed.] [Univ. of Arizona, Tucson, AZ (United States)] [and others]; PB: 433 p.
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING NOT INCLUDED IN OTHER CATEGORIES; HEAT TRANSFER; CAVITIES; RECTANGULAR CONFIGURATION; WAVE PROPAGATION; MATHEMATICAL MODELS; TWO-DIMENSIONAL CALCULATIONS; COMPUTER CALCULATIONS; HEAT SOURCES; THERMAL RADIATION

Citation Formats

Vasilyev, O V, and Paolucci, S. Thermoacoustic wave propagation modeling using a dynamically adaptive wavelet collocation method. United States: N. p., 1996. Web.
Vasilyev, O V, & Paolucci, S. Thermoacoustic wave propagation modeling using a dynamically adaptive wavelet collocation method. United States.
Vasilyev, O V, and Paolucci, S. 1996. "Thermoacoustic wave propagation modeling using a dynamically adaptive wavelet collocation method". United States.
@article{osti_442701,
title = {Thermoacoustic wave propagation modeling using a dynamically adaptive wavelet collocation method},
author = {Vasilyev, O V and Paolucci, S},
abstractNote = {When a localized region of a solid wall surrounding a compressible medium is subjected to a sudden temperature change, the medium in the immediate neighborhood of that region expands. This expansion generates pressure waves. These thermally-generated waves are referred to as thermoacoustic (TAC) waves. The main interest in thermoacoustic waves is motivated by their property to enhance heat transfer by inducing convective motion away from the heated area. Thermoacoustic wave propagation in a two-dimensional rectangular cavity is studied numerically. The thermoacoustic waves are generated by raising the temperature locally at the walls. The waves, which decay at large time due to thermal and viscous diffusion, propagate and reflect from the walls creating complicated two-dimensional patterns. The accuracy of numerical simulation is ensured by using a highly accurate, dynamically adaptive, multilevel wavelet collocation method, which allows local refinements to adapt to local changes in solution scales. Subsequently, high resolution computations are performed only in regions of large gradients. The computational cost of the method is independent of the dimensionality of the problem and is O(N), where N is the total number of collation points.},
doi = {},
url = {https://www.osti.gov/biblio/442701}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Tue Dec 31 00:00:00 EST 1996},
month = {Tue Dec 31 00:00:00 EST 1996}
}

Conference:
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