Absorbing Boundary Conditions and Numerical Methods for the Linearized Water Wave Equation in 1 and 2 Dimensions.

mathematics;numerical analysis;Mathematics;Science;Applied and Interdisciplinary Mathematics

Prigge, David K.Roe, Philip L ;

University of Michigan

关键词: mathematics;    numerical analysis;    Mathematics;    Science;    Applied and Interdisciplinary Mathematics;   

Others  :  https://deepblue.lib.umich.edu/bitstream/handle/2027.42/133175/dkprigge_1.pdf?sequence=1&isAllowed=y

瑞士|英语

来源: The Illinois Digital Environment for Access to Learning and Scholarship

【 摘 要 】

The linearized water wave equation (WWE) models incompressible, irrotational, inviscid free surface flows in deep water. We will investigate the WWE in both one and two spatial dimensions and derive nonreflecting boundary conditions for both. We will calculate numerical solutions for a fractional PDE arising as a nonreflecting boundary condition to the 1-D and 2-D WWE and discuss convergence and stability of the numerical methods. The nonreflecting boundary conditions will be implemented in a boundary layer around the computational domain.