| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Outline of Final Research Achievements |
We have developed new numerical schemes for flow problems based on the Galerkin characteristics finite element method, which is a combination of the method of characteristics and the finite element method. In these schemes the triangular linear element for 2 dimension problems and the tetrahedron linear element for 3 dimension problems are employed for all unknown functions, which reduces much the computational amount compared to the conventional Galerkin characteristic scheme. We have shown the mathematical validity, the convergence and the error estimate, of the schemes for the Navier-Stokes equations describing the incompressible viscous flows and for an Oseen-type Peterlin model describing a visco-elastic flow. We also recognized the efficiency of the schemes by several numerical computations.
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