Bai toan thuy trieu la mot trong nhiJng bai toan kinh dien da dUdc ra't nhieu tac gia nghien ciiu do tinh thUc tien va tinh ting dung cao cua no. Mot trong nhiing bai toan dUdc quan tam nghien ciiu nhieu nha't la bai toan mo phong lan truyen trieu sii dung he phUdng trinh nUdc nong hai chieu. Tren the gidi cac phUdng phap sai phan hCu han, the tich hiiu h a n va phSn tii hflu han da dUde ap dung cho viec xa'p xi hoa va giai so he phUdng trinh nifde nong cho bai toan thuy trieu. Tuy nhien phUdng phap sai phan hiiu ban va t h e tich hiiu h a n c6 ve nhU dUdc quan tam ling dung cho bai toan nay nhieu hdn do kha n a n g de ap dung cua hai phUdng phap nay.
6 nude ta phUdng phap sai phan hiiu han ciing dUde nhieu tac gia quan tam va s i dung cho bai toan thuy trieu bien ven. Cac cong trinh nghien ciiu thuy trieu bien Dong sii dung phUdng phap so co the ke ra nhU Nguyln Ngoc Thuy (1969), Dang Cong Minh (1975) da sii dung he phUdng trinh nU6c nong tuyen tinh hoa cho bai toan trieu [1]. Nhom nghien c^u thuoc de tai KT.03.03 (1991-1995), va mot so tac gia khac nhU Nguyln Tho Sao (1988), Nguyln Thi Viet Lien (1997), Do Ngoc Quynh (1983, 1991), Pham v a n H u a n (1987), Pham Van Ninh va Nguyln Thi Ngoc Duyet (1997) da sii dung phUdng trinh nUdc nong day du cho bai toan thuy trieu [1]. Noi chung cac tac gia da sii
dung chii yeu la phUdng phap sai phan hien hoac niia in vdi sii trd giiip ciia phUdng
phap ADI [2] de sai p h a n hoa giai bai toan thuy trieu bien ven. Dac diem cua cac phep sai phan hien la tinh on dinh khong cao do do kha nang ap dung khi c6 hien tUdng nU6e
luan chuyin kho Mdt d cac vung da't tha'p ngap trieu hay co gradient Idn cua mUc nUde
nhu bai toan v3 dap eon ra't h a n ch^. Vdi muc tieu c6 dUde mot mo hinh on dinh hdn cho
bai toan trieu viing b i l n ven, trong nghien ciiu nay trinh bay phUdng phap sai phan in
k^t hdp vdi sd d6 CIP [3] xa'p XI cho cac thanh phSn phi tuyen binh lUu va giai bang
phUdng phap lap BiCGSTAB. Mo hinh s^ vdi ph6p sai phan in tUdng tU nhU phUdng
phap SMAC [4] difdc trinh bay, ti^P theo la cac kilm chiing cho bai toan v3 dap va mot so'ling dung tinh toan cho bai toan truyen trieu trong bie^n Dong va vung vinh Ha Long.
^Q ^ Phimg Ding Hi^u
2. Mo hinh so vdi phep sai phan an 2.1. H e phUcTng t r i n h x u a t p h a t