4. Ten tap chi: Tap chi Khoa hoc, T.XXII, No 2B AP, 2006, DHQG Ha Noi. tr. 39- 49. 5. Tom tat: Bai bao trinh bay mot phirong phap sai phan an cho he phuong trinh nude nong 5. Tom tat: Bai bao trinh bay mot phirong phap sai phan an cho he phuong trinh nude nong
hai chieu va irng dung cho bai toan thuy trieu bie'n ven. Phuong phap sai phan in su dung
Of day dugc thuc hien tuong tu nhu phuong phap SMAC da dugfc ung dung cho he phuong trinh Navier-Stokes trong cong trinh nghien cim song ngan cua tac gia. Dac die'm cua
phuong phap la lam tang tfnh 6n dinh cua mo hinh sd va 6k dang giai bang cac phuong
phap giai lap hien dai. Thanh phan binh luu phi tuyen trong he phuong trinh nude nong dugc xa'p XI bang so do CIP (constraint interpolation profile) co do chinh xac bac ba va phuong phap giai lap BiCGSTAB dugc ap dung. Trudc tien mo hinh sd dugc kiem nghiem vdi mot sd trudng hgp co nghiem giai tich vdi bai toan va dap, sau do mo hinh sd dugc ap dung tinh toan thu cho truyen trieu tren bien Dong va tren vung bie'n vinh Ha Long Quang Ninh. Ket qua ban dau cho thay phuong phap sai phan an trinh bay d day co tinh 6n dinh
cao, dt ap dung va co kha nang ap dung tot cho bai toan thuy trieu bie'n ven.
1. Title: An Implicit Finite Difference Scheme Applied to the Tidal Simulation Model for
Shallow Seas
2. Journal: Journal of Science T.XXII, No.2B AP, 2006, Vietnam National University.
Hanoi, pp. 39-49.
3. Summary: The paper presents an implicit finite difference scheme for the shallow
water equations and an application for the tidal simulation of a shallow sea. The implicit finite difference method used here is somewhat similar to the SMAC method, which was employed for the discretisation of the Navier-Stokes equations for the simulation of breaking waves in the previous studies of the author. The advantage of the method is that it is stable and accurate enough for a simulation of discontinuity when it combined with CIP scheme. Firstly, a numerical model is developed using the implicit scheme and verified against the analitical solutions in the case of dam-break problem. Then, the model is applied to the simulation of tidal waves in the Bien Dong Sea and in the Halong bay. The numerical results show that the proposed model is capable of simulation of tide in shallow seas.
SCIENTIFIC PROJECT
Branch: Oceanography; Project category: Ministry level