Singular value decomposition Stability index Rainfall‐runoff Kinematic wave Spatial interpolation functions
Issue Date:
2008
Publisher:
ĐHQGHN
Citation:
VNU Journal of Science, Earth Sciences 24 (2008) 57‐65
Abstract:
This paper analyzes the stability of linear, lumped, quadratic, and cubic spatial
interpolation functions in finite element one‐dimensional kinematic wave schemes for simulation of
rainfall‐runoff processes. Galerkin’s residual method transforms the kinematic wave partial
differential equations into a system of ordinary differential equations. The stability of this system is
analyzed using the definition of the norm of vectors and matrices. The stability index, or singularity
of the system, is computed by the Singular Value Decomposition algorithm. The oscillation of the
solution of the finite element one‐dimensional kinematic wave schemes results both from the
sources, and from the multiplication operator of oscillation. The results of computation experiment
and analysis show the advantage and disadvantage of different types of spatial interpolation
functions when FEM is applied for rainfall‐ runoff modeling by kinematic wave equations.
Description:
VNU Journal of Science, Earth Sciences. Vol. 24 (2008), No. 2, P. 57‐65
