**Numerical Analysis on the Simulated Heavy Rainfall Event of Tropical Cyclone Fung-Wong Event of Tropical Cyclone Fung-Wong**

**Numerical Analysis on the Simulated Heavy Rainfall** 

DOI: 10.5772/intechopen.72264

Lei-Ming Ma and Xu-Wei Bao Lei-Ming Ma and Xu-Wei Bao Additional information is available at the end of the chapter

Additional information is available at the end of the chapter

http://dx.doi.org/10.5772/intechopen.72264

### **Abstract**

[12] Zavalani G. Fourier spectral collocation method for the numerical solving of the Kuramoto-Sivashinsky equation. American Journal of Numerical Analysis. 2014;2(3):90-97

[13] Zarebnia M, Parvaz R. Septic b-spline collocation method for numerical solution of the Kuramoto-Sivashinsky equation. Communications in Nonlinear Science and Numerical

[14] Hawken DF, Gottlieb JJ, Hansen JS. Review of some adaptive node movement techniques in finite element and finite difference solutions of PDEs. Journal of Computational Physics.

[15] Huang W, Ren Y, Russell RD. Moving mesh methods based on moving mesh partial

[16] Huang W, Ren Y, Russell RD. Moving mesh partial differential equations based on equidistribution principle. SIAM Journal on Numerical Analysis. 1994;31(3):709-730

[17] De Boor C. Good approximation by splines with variable knots. ii. In: Conference on the

[18] Rubin SG, Graves RA. Cubic Spline Approximation for Problems in Fluid Mechanics.

[19] Russell RD, Williams JF, Xu X. MOVCOL4: A moving mesh code for fourth-order timedependent partial differential equations. SIAM Journal on Scientific Computing. 2007;29(1):

[20] Weizhang H, Russell RD. Adaptive Moving Mesh Methods. New York: Springer; 2010.

differential equations. Journal of Computational Physics. 1994;113:279-290

Numerical Solution of Differential Equations. 1974;363:12-20

Simulation. 2013;7(3):354-358

276 Finite Element Method - Simulation, Numerical Analysis and Solution Techniques

Washington DC: NASA; 1975. 93 p

1991;95(2):254-302

197-220

432 p

During landfall on the southeast coast of China, tropical cyclone (TC) Fung-Wong in the year 2008 caused torrential rainfall and flooding. In order to clarify the mechanism for the rainfall, a series of numerical simulations were conducted in this study using the National Center for Atmospheric Research (NCAR), Weather Research & Forecasting (WRF) mesoscale numerical model with three-nested domains and a highest horizontal resolution of 600 m. Numerical analysis was then performed based on the simulations. It is found that, during the evolution of heavy rainfall, quasi-frontal systems are frequently produced at the boundary of TC inflow and convective updrafts, which is more evident at the region of TC inner core and spiral rain band. The existence of energy cascading, featured by the energy transition among TC-scale inflow and convective cells, is also identified at the quasi-frontal region. These multiscale processes of Fung-Wong are further clarified by the analysis of helicity, which are believed to be responsible for the genesis and development of deep convection and rapid accumulation of rainfall. In the quasi-frontal region, numerical analysis further indicates the existence of intensive lowlevel wind shear as well as vertically turning of low level jet (LLJ), implying the contribution from Kelvin-Helmholtz instability (KHI).

**Keywords:** tropical cyclone, rainfall, landfall, helicity, CAPE
