| Budget Amount *help |
¥5,330,000 (Direct Cost: ¥4,100,000、Indirect Cost: ¥1,230,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2012: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
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| Outline of Final Research Achievements |
(1) A generalized numerical formulation has been developed to provide a base for designing new schemes with various constraints. The guideline to choose the proper multi-moment constraints for the desired numerical properties has been investigated through both theoretical and numerical analysis. (2) A novel 4th order high resolution scheme, MCV-WENO4, has been proposed and verified to be of advantage in comparison with other existing methods. (3) An efficient and conservative collocation method, Gauss-Legendre point based conservative collocation (GLPCC) method, has been proposed by using the collocation constraints. A three-point scheme of fifth-order accuracy has been adopted to develop the global shallow-water model on the cubed sphere grid. (4) A multi-moment finite volume method has been developed on unstructured grids with arbitrary mesh elements, which provides a numerical framework that well balances accuracy, efficiency and robustness for practical applications.
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