ระเบียบวิธีไฟไนต์เอลิเมนต์สำหรับการไหลความเร็วสูงแบบอัดตัวได้ / ปัญญา จันทร์ไพแสง =Finite element method for high speed compressible flow / Panya Janphaisaeng
This thesis presents a finite element computational method for solving high speed inviscid compressible flow problems with the application of an adaptive meshing technique to improve solution accuracy. Finite element equations corresponding to these flow problems were derived from the governing Navier-Stokes differential equations using the upwind cell-centered algorithm. These derived finite element equations were used in the development of a computer program. The computer program was verified by solving flow problems that have exact solutions before applying to solve more complex flow problems. The adaptive meshing technique was combined with the finite element method to improve the solution accuracy and to reduce the computational time as well as the computer memory. The technique generates small elements in the region of large change in the solution gradients to increase solution accuracy and, at the same time, to place the larger elements in the other regions to reduce the computational time and memory. The flow solutions obtained from several examples demonstrate the capability of the finite element method and the adaptive meshing technique that can provide detailed flow behavior past complex geometries.
