MLPG method for the two-dimensional time dependent convection-diffusion equation

บทความในวารสาร

ผู้เขียน/บรรณาธิการ

กลุ่มสาขาการวิจัยเชิงกลยุทธ์

ไม่พบข้อมูลที่เกี่ยวข้อง

รายละเอียดสำหรับงานพิมพ์

รายชื่อผู้แต่ง: Khankham S., Aschariyaphotha N., Luadsong A., Yomsatieankul W.

ผู้เผยแพร่: Pushpa

ปีที่เผยแพร่ (ค.ศ.): 2012

วารสาร: Far East Journal of Mathematical Sciences (0972-0871)

Volume number: 67

Issue number: 2

หน้าแรก: 229

หน้าสุดท้าย: 247

จำนวนหน้า: 19

นอก: 0972-0871

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84864104332&partnerID=40&md5=d546c252c834f57be100e9c74be3f9b3

ภาษา: English-Great Britain (EN-GB)

บทคัดย่อ

The meshless local Petrov-Galerkin (MLPG) upwinding scheme is presented for solving time dependent convection-diffusion equation in two-dimensional case. It is well known that convection-dominated flows are some of the most difficult problems to solve numerically. The presence of the convection term causes serious numerical difficulties, appearing in the form of oscillatory solutions, when the convection term is dominant. It can be shown in this paper that the MLPG upwinding scheme will be very promising to solve the convection-dominated flow problem. The numerical results of the time dependent convection-diffusion equation are investigated, and confirm that oscillations can be controlled by the MLPG upwinding scheme method. The convection-diffusion equation that solved by using time dependent equation has the better results than time independent equation. The results also show that the MLPG upwinding scheme gives stability results, while the MLPG without upwinding scheme gives unconditionally stable results. ฉ 2012 Pushpa Publishing House.

คำสำคัญ

Convection-diffusion equation, Time dependent, Upwinding scheme