Modified smoothed particle method and its application to transient heat conduction

Q. Hou, Y. Fan

Research output: Book/ReportReportAcademic

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Abstract

Inspired by the idea of applying kernel approximation to Taylor series expansions proposed in the corrective smoothed particle method (CSPM), a modi¿cation is developed to improve the accuracy of the approximations especially for particles in the boundary region. The large global error of the function approximation in CSPM is reduced in the present method. The large local truncation error in the boundary region for the ¿rst derivative approximation and large local truncation error in the entire domain for the second derivative approximation are also resolved. The e¿ciency of the proposed method is demonstrated by solving one- and two-dimensional transient heat conduction problems.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages11
Publication statusPublished - 2012

Publication series

NameCASA-report
Volume1213
ISSN (Print)0926-4507

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Cite this

Hou, Q., & Fan, Y. (2012). Modified smoothed particle method and its application to transient heat conduction. (CASA-report; Vol. 1213). Eindhoven: Technische Universiteit Eindhoven.
Hou, Q. ; Fan, Y. / Modified smoothed particle method and its application to transient heat conduction. Eindhoven : Technische Universiteit Eindhoven, 2012. 11 p. (CASA-report).
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Hou, Q & Fan, Y 2012, Modified smoothed particle method and its application to transient heat conduction. CASA-report, vol. 1213, Technische Universiteit Eindhoven, Eindhoven.

Modified smoothed particle method and its application to transient heat conduction. / Hou, Q.; Fan, Y.

Eindhoven : Technische Universiteit Eindhoven, 2012. 11 p. (CASA-report; Vol. 1213).

Research output: Book/ReportReportAcademic

TY - BOOK

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AU - Fan, Y.

PY - 2012

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N2 - Inspired by the idea of applying kernel approximation to Taylor series expansions proposed in the corrective smoothed particle method (CSPM), a modi¿cation is developed to improve the accuracy of the approximations especially for particles in the boundary region. The large global error of the function approximation in CSPM is reduced in the present method. The large local truncation error in the boundary region for the ¿rst derivative approximation and large local truncation error in the entire domain for the second derivative approximation are also resolved. The e¿ciency of the proposed method is demonstrated by solving one- and two-dimensional transient heat conduction problems.

AB - Inspired by the idea of applying kernel approximation to Taylor series expansions proposed in the corrective smoothed particle method (CSPM), a modi¿cation is developed to improve the accuracy of the approximations especially for particles in the boundary region. The large global error of the function approximation in CSPM is reduced in the present method. The large local truncation error in the boundary region for the ¿rst derivative approximation and large local truncation error in the entire domain for the second derivative approximation are also resolved. The e¿ciency of the proposed method is demonstrated by solving one- and two-dimensional transient heat conduction problems.

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BT - Modified smoothed particle method and its application to transient heat conduction

PB - Technische Universiteit Eindhoven

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Hou Q, Fan Y. Modified smoothed particle method and its application to transient heat conduction. Eindhoven: Technische Universiteit Eindhoven, 2012. 11 p. (CASA-report).