A High-Order Numerical Method to Study Three-Dimensional Hydrodynamics in a Natural River. Issue 2 (April 2015)

• Record Type: Journal Article
• Authors: Shen, Luyu; Lu, Changgen; Wu, Weiguo; Xue, Shifeng
• Is Part Of: Advances in applied mathematics and mechanics. Volume 7:Issue 2(2015)
• Page Start: 180
• Page End: 195
• Publication Date: 2015-04
• Subjects: 65M06, -- 76F60, -- 35Q35; Compact scheme, -- three-dimensional hydrodynamics, -- k-ε turbulence model, -- orthogonal curvilinear coordinate system, -- Runge-Kutta scheme; Engineering mathematics -- Periodicals; Mechanics -- Periodicals; 620.00151825
• DOI: 10.4208/aamm.2014.m605
• Languages: English
• ISSNs: 2070-0733

Abstract

Abstract: A high-order numerical method for three-dimensional hydrodynamics is presented. The present method applies high-order compact schemes in space and a Runge-Kutta scheme in time to solve the Reynolds-averaged Navier-Stokes equations with the k-ε turbulence model in an orthogonal curvilinear coordinate system. In addition, a two-dimensional equation is derived from the depth-averaged momentum equations to predict the water level. The proposed method is first validated by its application to simulate flow in a 180° curved laboratory flume. It is found that the simulated results agree with measurements and are better than those from SIMPLEC algorithm. Then the method is applied to study three-dimensional hydrodynamics in a natural river, and the simulated results are in accordance with measurements.