Heat conduction analysis by a Truly Meshless Method : Meshless Local Petrove-Galerkin (MLPG)

ISBN-13: 9783330350373 / Angielski / Miękka / 2017 / 100 str.

Mohammad Javad Mahmoodabadi; Reza Rouholamini

Opis

The first part of this book discusses a numerical approach to solve two-dimensional heat conduction problems of layer composites with steady and transient states by implementing a Meshless Local Petrove-Galerkin (MLPG) method. At the second part, a similar approach is applied for analysis of three-dimensional steady state heat conduction problems. The penalty method is adopted to efficiently enforce the essential boundary condition. Among interpolation functions, due to the high continuity of the approximation function, the moving least squares (MLS) interpolation is selected. Also the Heaviside step function is considered as the test function. To resolve the problem of discontinuity in layers of composites, a new technique is proposed for the numerical integration process. To deal with time derivatives, the forward time differences are employed. Several numerical examples have been illustrated in both parts to prove the efficiency and accuracy of the considered approach.

O autorze

Mohammad Jawad Mahmoodabadi received his BS and MS degrees in mechanical engineering from Shahid Bahonar University of Kerman in 2005 and 2007, respectively. He received his Ph.D. degree in mechanical engineering from the University of Guilan in 2012. Now, he is an assistant professor of Mechanical Engineering at Sirjan University of Technology.