マトリックス解法を用いた節点法による通気網解析

Translated title of the contribution: Nodal head method with matric operation in analysis of mine ventilation networks

Kyuro Sasaki, Hiroshi Miyakoshi, Toru Onozuka, Hiroshi Kinoshita

Research output: Contribution to journalArticle

Abstract

This report describes a calculation method for mine ventilation networks with a nodal head method. The generalized equations and calculation methods for solving a steady-state mine ventilation network have been written to clear the algorism of a computer program. The use of the modified Choleski's decomposition algorism has an advantage of rapid convergence to solve the linear system for the pressure corrections of nodes consisting of a symmetric matrix. The four examples of the mine ventilation networks, of which the total numbers of the nordes N are 8, 14, 51 and 141 respectively, were calculated with a personal computer (640KB, MS-DOS system). As the convergence criterion, it was employed that the maximum tolerance of the summed flow-rates in continuity at each node is less than 0.1 m3/min. Under the condition that the pressure of the main fan is kept constant and the acceleration constant for convergence is taken 1.4, the numbers of the iteration until the convergence are nearly 13 for each example. The CPU times of an iteration are roughly in proportion to N3/2.

Original languageJapanese
Pages (from-to)587-594
Number of pages8
JournalShigen to sozai
Volume106
Issue number10
DOIs
Publication statusPublished - Jan 1 1990

Fingerprint

Mine ventilation
Ventilation
ventilation
Iteration
Pressure Correction
DOS
Convergence Criteria
Personal Computer
CPU Time
Vertex of a graph
Symmetric matrix
Generalized Equation
Personal computers
Flow Rate
Fans
Program processors
Linear systems
Tolerance
Computer program listings
Proportion

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Safety, Risk, Reliability and Quality
  • Earth and Planetary Sciences(all)

Cite this

マトリックス解法を用いた節点法による通気網解析. / Sasaki, Kyuro; Miyakoshi, Hiroshi; Onozuka, Toru; Kinoshita, Hiroshi.

In: Shigen to sozai, Vol. 106, No. 10, 01.01.1990, p. 587-594.

Research output: Contribution to journalArticle

Sasaki, Kyuro ; Miyakoshi, Hiroshi ; Onozuka, Toru ; Kinoshita, Hiroshi. / マトリックス解法を用いた節点法による通気網解析. In: Shigen to sozai. 1990 ; Vol. 106, No. 10. pp. 587-594.
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