Supercritical-Fluids Simulator(SFS)


 Substances are generally formed in one of three phases such as gas, liquid and solid states. According to pressure and temperature in the phase, the phase may be changed to other phases. If the pressure is very high and the temperature is also very high(occasionally moderate), substances become supercritical fluids. Especially, some anomalous properties are found at a near-critical condition in the supercritical state. We have developed a computational code for simulating supercritical carbon dioxide and water. A preconditioned flux-vector splitting scheme(PFVS) based on the preconditioning method and the Peng-Robinson EOS have been employed. Currently the code has been further modifed by linking with the PROPATH, which is a database for thermophysical properties developed by Kyushu University. This code is named as Supercritical-Fluids Simulator(SFS). Whole thermal properties in SFS are calculated by the PROPATH's functions. Since the PROPATH has sets of equations and data of thermal properties for 48 substances such as N2, O2, CH4, NH3, H2, He, Ar, CO2 and H2O, SFS can calculate supercritical fluids of arbitrary substance only by chnaging the library file *.lib to that for other substances. In addition to this situation, flows at atmospheric and cryogenic conditions can be also calculated. For examples, cabon-dioxide gas, watar vapor, and water liquid can be simulated considering their compressibilities even though the density change is quite trivial. This means that SFS can apply to flows of arbitrary substance in gas, liquid and supercritical conditions, even if the state is changed or multi state is included.

Capability of SFS(PFVS+PROPATH)

Numerical Examples 

Natural Convections of Arbitrary Substance in Square Cavity assuming Atmospheric Conditions


Rayleigh-Bènard Convection of Supercritical Carbon dioxide, Movie

Schematic of already calculated problems


Numerical examples of SFS+BC

Numerical examples of 3DSFS+BC

Publication lists


1. Satoru Yamamoto and Atsushi Ito, Numerical Method for Near-critical Fluids of Arbitrary Material, Proceedings of 4th International Conference on Computational Fluid Dynamics, (2006).
2. Satoru Yamamoto, Shinichi Yano, Akira Ishigame and Takashi Furusawa, A Supercritical-fluids Simulator Applied to Flows of Aritrary Substance in Arbitrary Conditions, 5th ASME_JSME Fluids Engineering Conference-San Diego, (2007-7), CD-ROM.
3. Takashi Furusawa and Satoru Yamamoto, Accurate Prediction of Transitional Flows among Gas, Liquid and Supercritical Fluids, Proc. 5th Europian Congress on Computational Methods in Applied Sciences and Engineerings, ECCOMAS2008-Venice, (2008-7), CD-ROM.
4. Satoru Yamamoto and Takashi Furusawa, Numerical Method for Flows of Arbitrary Substance in Arbitrary Conditions, Proc. 5th International Conference on Computational Fluid Dynamics-Seoul, (2008-7), Springer, 545-550.
5.Takashi Furusawa, Yasuhiro Sasao, Kentaro Sano and Satoru Yamamoto, Acceleration of Supercritical-fluid Flow Computation using an Accurate Look-up Table of Thermophysical Properties, Proc. of the 8th Asian Computational Fluid Dynamics Conference, Hong Kong, (2010), CD-ROM.
6.Satoru Yamamoto, Takashi Furusawa, and Ryo Matsuzawa, Supercritical-fluid Simulations across Critical Point, Proc. 6th International Conference on Computational Fluid Dynamics-St. Petersburg, Computational Fluid Dynamics,(2010), Springer, 661-667.
7.Satoru Yamamoto, Takashi Furusawa, and Ryo Matsuzawa, Numerical Simulation of Supercritical Carbon Dioxide Flows across Critical Point, International Journal of Heat and Mass Transfer, 54-4 (2011), 774-782.
8.Satoru Yamamoto, Ryo Matsuzawa, and Takashi Furusawa, Simulation of Thermophysical Flow in Axisymmetric Nozzle with Expansion Chamber, AIChE Journal, 57-10(2011), 2629-2635.
9.Takashi Furusawa and Satoru Yamamoto, Numerical Simulation of Supercritical Water in T-Shaped Channel across Critical Point, Proc. ASME-JSME-KSME Joint Fluids Engineering Conference, Hamamatsu, (2011), CD-ROM.
10.Satoru Yamamoto, Simulation of Thermophysical Flows (Plenary Lecture), Proc. Eighth KSME-JSME Thermal and Fluids Engineering Conference, (2012-3), USB-Mem.

11. Shibo Qi, Takashi Furusawa, Satoru Yamamoto, Kazuhiro Nakahashi, Comparison of Different Wall Bounday Treatments for Preconditioning Method Coupled with Building-cube Method, Procedia Engineering, 61(2013), 298-305.
12. Shibo Qi, Takashi Furusawa, Satoru Yamamoto, Numerical Simulation of Supercritical-fluid Flows over Arbitrary Geometry, Bulletin of JSME, Journal of Fluid Science and Technology, 9-1(2014), 1-16.
13. Satoru Yamamoto and Takashi Furusawa, Thermophysical Flow Simulations of Rapid Expansion of Supercritical Solutions (RESS), Journal of Supercritical Fluids, 97(2015), 192-201 (Featured online on 'Advances in Engineering':https://advanceseng.com/general-engineering/thermophysical-flow-simulations-of-rapid-expansion-of-supercritical-solutions-ress/).
14.Shibo Qi, Takashi Furusawa, Satoru Yamamoto, A Numerical Method applied to Forced and Natural Convection Flows over Arbitrary Geometry, International Journal of Heat and Mass Transfer, 85(2015), 375-389.