Logo IPI  
Journal > Journal of the Indonesian Mathematical Society > SIMULATION OF ANALYTICAL TRANSIENT WAVE DUE TO DOWNWARD BOTTOM THRUST

 

Full Text PDF (394 kb)
Journal of the Indonesian Mathematical Society
Volume 21 Number 2 (October 2015)
SIMULATION OF ANALYTICAL TRANSIENT WAVE DUE TO DOWNWARD BOTTOM THRUST
Tjandra, Sugih Sudharma ( Bandung Institute of Technology & Parahyangan Catholic University)
Pudjaprasetya, Sri Redjeki ( Bandung Institute of Technology)
Wiryanto, Leo Hari ( Bandung Institute of Technology)
Article Info   ABSTRACT
Published date:
03 Nov 2015
 
Generation process is an important part of understanding waves, especially tsunami. Large earthquake under the sea is one major cause of tsunamis. The sea surface deforms as a response from the sea bottom motion caused by the earthquake. Analytical description of surface wave generated by bottom motion can be obtained from the linearized dispersive model. For a bottom motion in the form of a downward motion, the result is expressed in terms of improper integral. Here, we focus on analyzing the convergence of this integral, and then the improper integral is approximated into a finite integral so that the integral can be evaluated numerically. Further, we simulate free surface elevation for three different type of bottom motions, classified as impulsive, intermediate, and slow  movements. We demonstrate that the wave propagating to the right, with a depression as the leading wave, followed with subsequent wave crests. This phenomena is often observed in most tsunami events.
Copyrights © 2015