. Coastal and inlet processes numerical modeling system for Oregon Inlet, North Carolina. Coast changes; Coastal engineering; Hydrodynamics. t V a, u a. u a, pd bx pd x 1 y 2x1 ai y u + — uu + — vu +£-n ? -t t. +-r a pd bx pd % a2a2 ^y /a °2 Vy VX/a2 °1 — — V - x u U a a y m y x 2 1 P xx m \ xy 34) V + — UV + — VV + -S— ti + -=• T, +^r 1 Ux al Uy a2 % a2 P y P -(S ) + - lS. (35) -e — — U - -V- f ! V y U U a a 2 I x / a, x y 12 ux \ /^ The continuity equation becomes H + — (Ud) + — (Vd) = 0 t M a, W a x 1 y 2 (36) where the subscripts t , "'it an^ a. indicate partial derivatives with respe
. Coastal and inlet processes numerical modeling system for Oregon Inlet, North Carolina. Coast changes; Coastal engineering; Hydrodynamics. t V a, u a. u a, pd bx pd x 1 y 2x1 ai y u + — uu + — vu +£-n ? -t t. +-r a pd bx pd % a2a2 ^y /a °2 Vy VX/a2 °1 — — V - x u U a a y m y x 2 1 P xx m \ xy 34) V + — UV + — VV + -S— ti + -=• T, +^r 1 Ux al Uy a2 % a2 P y P -(S ) + - lS. (35) -e — — U - -V- f ! V y U U a a 2 I x / a, x y 12 ux \ /^ The continuity equation becomes H + — (Ud) + — (Vd) = 0 t M a, W a x 1 y 2 (36) where the subscripts t , "'it an^ a. indicate partial derivatives with respect to time, , and a„ , respectively, and the grid expansion coef- ficients p and \i are defined by Equations 4 and 6. Note that in obtaining Equations 34, 35, and 36, the assumptions made in paragraph 29 were used. 31. The nonlinear advective terms in the equations of motion often pose stability problems. These terms are handled in the present model by using a special scheme which will be described in the next paragraph. The eddy viscosity terms can cause difficulties also during the numerical computation. The finite difference schemes selected in the model and the formulation for eddy viscosity adopted in the model minimize such difficulties and stability problems provided that time and space steps and eddy viscosity coefficients are properly selected for the phenomena being simulated. Computational techniques 32. In order to solve the problem under consideration on a digital com- puter, the differential equations (Equations 34-36) have to be expressed in a finite difference form. In the present case, an alternating direction, implicit, finite difference scheme is employed. In view of the presence of 24. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Vemulakonda, S. Rao; U.
Size: 2148px × 1163px
Photo credit: © The Book Worm / Alamy / Afripics
License: Licensed
Model Released: No
Keywords: ., bookcentury1900, bookcollectionbiodive, booksubjecthydrodynamics
