AI SearchStability analysis of two-dimensional flow computation
Nguyen Huong Thuy Phan
Stability analysis of two-dimensional flow computation - Bangkok : Asian Institute of Technology, 1993 - 86, [27] leaves : ill. - Thesis ; no. WA-93-21 . - Asian Institute of Technology. Thesis ; no. WA-93-21 .
A thesis submitted in partial fulfillment of the requirement for the degree of Master of Engineering, School of Engineering and Technology
Thesis (M.Eng.) - Asian Institute of Technology, 1993
Courant's stability criterion is well known for one-dimensional hydrodynamic model. In this study, stability analysis of a two-dimensional hydrodynamic model is carried out by using numerical experimentation. With a multi-operation finite difference scheme based on Ponce and Yabusaki, numerical computations are performed to investigate the effect of configuration, spatial smoothing process and boundary treatment on stability. It had been found that (i) Stability can be controlled by a condition similar to Courant's, (ii) Stability is affected by the flow condition (Froude number), the features of domain configuration and spatial weighting factor, (iii) Boundary treatment has negligible effect on stability, (iv) Without spatial smoothing process, computation is unconditionally unstable. The obtained stability criteria can be used to detect the instability of computation on slightly compatible object problems.
Hydraulics--Mathematical models
Stability analysis of two-dimensional flow computation - Bangkok : Asian Institute of Technology, 1993 - 86, [27] leaves : ill. - Thesis ; no. WA-93-21 . - Asian Institute of Technology. Thesis ; no. WA-93-21 .
A thesis submitted in partial fulfillment of the requirement for the degree of Master of Engineering, School of Engineering and Technology
Thesis (M.Eng.) - Asian Institute of Technology, 1993
Courant's stability criterion is well known for one-dimensional hydrodynamic model. In this study, stability analysis of a two-dimensional hydrodynamic model is carried out by using numerical experimentation. With a multi-operation finite difference scheme based on Ponce and Yabusaki, numerical computations are performed to investigate the effect of configuration, spatial smoothing process and boundary treatment on stability. It had been found that (i) Stability can be controlled by a condition similar to Courant's, (ii) Stability is affected by the flow condition (Froude number), the features of domain configuration and spatial weighting factor, (iii) Boundary treatment has negligible effect on stability, (iv) Without spatial smoothing process, computation is unconditionally unstable. The obtained stability criteria can be used to detect the instability of computation on slightly compatible object problems.
Hydraulics--Mathematical models