Study of Seasonal Heat, Freshwater, and Volume Transports in the Gulf of Thailand using an Ocean Circulation Model

This research aims to investigate volume, heat, and freshwater transports in the Gulf of Thailand for each season. The Model grid used in this research is the orthogonal curvilinear grid which is constructed via cubic splines and solving Laplace's equation. For the vertical grid, the sigma coordinate is introduced to deal with significant topographical variability. The data used consist of bottom topography, current velocities, potential temperature, salinity, and seawater density, which are calculated from the primitive equations. The results show that the highest and lowest values of volume, heat, and freshwater transports in each season occur at the same region, and the direction of volume and heat transports are all same in the Gulf of Thailand, but the freshwater transport is in the opposite direction of volume and heat transports. The highest values of volume, heat, and freshwater transports occur between latitudes 7°N to 8°N in the winter and at the connection section between the Gulf of Thailand and the South China Sea in the summer, rainy season, and the end of the rainy season.  Their lowest values occur at latitude 11°N in the winter, between latitudes 8°N to 9°N in the summer, and between latitudes 10°N to 11°N in the rainy season and the end of the rainy season. In order to validate the results, a comparison was made with the results of Wyrtki's research which investigated the volume transports of Southeast Asian Waters. It can be summarized that the results of our research are on track

The Numerical Solution of Fractional Black-Scholes-Schrodinger Equation Using the RBFs Method

In this paper, radial basis functions (RBFs) method was used to solve a fractional Black-Scholes-Schrodinger equation in an option pricing of financial problems. The RBFs method is applied in discretizing a spatial derivative process. The approximation of time fractional derivative is interpreted in the Caputo’s sense by a simple quadrature formula. This RBFs approach was theoretically proved with different problems of two numerical examples: time step arbitrage bubble case and time linear arbitrage bubble case. Then, the numerical results were compared with the semiclassical solution in case of fractional order close to 1. As a result, both numerical examples showed that the option prices from RBFs method satisfy the semiclassical solution

RELATIVE VORTICITY AT THE PRESSURE LEVEL 850 hPa AND SSTA IN SOUTHEAST ASIA CAUSING PRECIPITATION ANOMALY OVER THAILAND

Monthly relative vorticity and the relative vorticity anomaly at pressure level 850 hPa are computed to study circulation over Southeast Asia associated with the rainfall over Thailand. Monthly mean rainfall is averaged during the years 1979 to 2013 over Thailand to study the trends of rainfall and to analyze the difference between the SSTA in a dry year (1992) and a wet year (1999), and the precipitation anomaly. Rotation of the relative vorticity over Thailand during the rainy season in 1999 is supported by the westerly wind from the Indian Ocean. Relative vorticity over Thailand in October to December are brought by the wind from the east toward the west of the South China Sea. The positive value of relative vorticity in 1992 is less than in 1999. This is consistent with the precipitation anomalies in 1992 and 1999. Clearly, the rainfall and precipitation anomaly over Thailand in wet year 1992 and dry year 1999 are consistent with the relative vorticity at pressure level 850 hPa. Both years are also associated with the SSTA. It can be concluded that the large amounts of rainfall over Thailand are associated with the positive values of relative vorticity at pressure level 850 hPa and SSTA over Southeast Asia. The daily relative vorticity at pressure level 850 hPa and SSTA over Southeast Asia during Typhoon Linda is analyzed in the research. The positive value of relative vorticity is consistent with circulation during Typhoon Linda which is brought by winds from the South China Sea, and the SSTA is also unusual over the Gulf of Thailand and the Andaman Sea. These are the causes of violent storms in Thailand during Typhoon Linda