Mathematical modeling and simulation of condensate fluid and solid coupling problems

We have developed the numerical mothod based on the preconditioning method for simulating thermal convective flows. As a critical application of this method, a static field(zero velocity) could be calculated without any singularity in the calculation. Then, the fundamental equations are reduced to an equation of heat conduction in this method. At this point, our method can apply to the calculation for heat conduction in a solid. We did calculate a natural convection around a pipe in moist air with the solid structure in the pipe. Then, we could get a temperature distributions around and in the pipe.

計算結果 1，２

References

Satoru YAMAMOTO, Daisuke NIIYAMA and Byeong Rog SHIN, A Numerical Method for Gravitational Condensate Flows with Structure, Proceedings of the 5th Asian Computational Fluid Dynamics, (2003), CD-ROM.

Satoru YAMAMOTO, Daisuke NIIYAMA and Byeong Rog SHIN, A Numerical Method for Natural Convection and Heat Conduction around and in a Horizantal Circular Pipe, International Journal of Heat and Mass Transfer, 47(2004), 5777-5788.

Satoru Yamamoto, Preconditioning Method for Condensate Fluid and Solid Coupling Problems in General Curvilinear Coordinates, Journal of Computational Physics, 207-1(2005), 240-260.