TY - JOUR A2 - Jovanoski, Zlatko AU - Zhao, Pengfei AU - Liu, Cai AU - Feng, Xuan PY - 2014 DA - 2014/07/15 TI - POD-DEIM Based Model Order Reduction for the Spherical Shallow Water Equations with Turkel-Zwas Finite Difference Discretization SP - 292489 VL - 2014 AB - We consider the shallow water equations (SWE) in spherical coordinates solved by Turkel-Zwas (T-Z) explicit large time-step scheme. To reduce the dimension of the SWE model, we use a well-known model order reduction method, a proper orthogonal decomposition (POD). As the computational complexity still depends on the number of variables of the full spherical SWE model, we use discrete empirical interpolation method (DEIM) proposed by Sorensen to reduce the computational complexity of the reduced-order model. DEIM is very helpful in evaluating quadratically nonlinear terms in the reduced-order model. The numerical results show that POD-DEIM is computationally very efficient for implementing model order reduction for spherical SWE. SN - 1110-757X UR - https://doi.org/10.1155/2014/292489 DO - 10.1155/2014/292489 JF - Journal of Applied Mathematics PB - Hindawi Publishing Corporation KW - ER -