Approach to prevent spurious oscillations in compressible multicomponent flows using high-order methods

Hiroshi Terashima; Soshi Kawai; Mitsuo Koshi

doi:10.1115/FEDSM2012-72246

Approach to prevent spurious oscillations in compressible multicomponent flows using high-order methods

Hiroshi Terashima, Soshi Kawai, Mitsuo Koshi

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We present an interface-capturing method for fluid interfaces in compressible multicomponent flows using high-order central-difference-based schemes. Numerical diffusion terms are consistently designed so that the velocity, pressure, and temperature equilibriums are maintained at the fluid interfaces, while serving as an efficient interface-capturing. Advection problems of a contact discontinuity and a material interface shows that 1) the present method maintains the velocity, pressure, and temperature equilibriums at the fluid interfaces (oscillation-free property) and 2) the numerical diffusion terms effectively works for suppressing spurious wiggles of the density or temperature. Comparisons with a conventional fully-conservative approach demonstrates the superiority of the present method in avoiding spurious oscillations. A shock tube problem of two-component gases shows the capability for capturing the shock wave while the velocity and pressure equilibriums are successfully maintained at the contact discontinuity.

Original language	English
Title of host publication	ASME 2012 Fluids Engineering Division Summer Meeting Collocated with the ASME 2012 Heat Transfer Summer Conf. and the ASME 2012 10th Int. Conf. on Nanochannels, Microchannels, and M, FEDSM 2012
Pages	635-643
Number of pages	9
Edition	PARTS A AND B
DOIs	https://doi.org/10.1115/FEDSM2012-72246
Publication status	Published - 2012 Dec 1
Externally published	Yes
Event	ASME 2012 Fluids Engineering Division Summer Meeting, FEDSM 2012 Collocated with the ASME 2012 Heat Transfer Summer Conf. and the ASME 2012 10th International Conference on Nanochannels, Microchannels, and M, FEDSM 2012 - Rio Grande, Puerto Rico Duration: 2012 Jul 8 → 2012 Jul 12

Publication series

Name	American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FEDSM
Number	PARTS A AND B
Volume	1
ISSN (Print)	0888-8116

Other

Other	ASME 2012 Fluids Engineering Division Summer Meeting, FEDSM 2012 Collocated with the ASME 2012 Heat Transfer Summer Conf. and the ASME 2012 10th International Conference on Nanochannels, Microchannels, and M, FEDSM 2012
Country	Puerto Rico
City	Rio Grande
Period	12/7/8 → 12/7/12

ASJC Scopus subject areas

Mechanical Engineering

Access to Document

10.1115/FEDSM2012-72246

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Terashima, H., Kawai, S., & Koshi, M. (2012). Approach to prevent spurious oscillations in compressible multicomponent flows using high-order methods. In ASME 2012 Fluids Engineering Division Summer Meeting Collocated with the ASME 2012 Heat Transfer Summer Conf. and the ASME 2012 10th Int. Conf. on Nanochannels, Microchannels, and M, FEDSM 2012 (PARTS A AND B ed., pp. 635-643). (American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FEDSM; Vol. 1, No. PARTS A AND B). https://doi.org/10.1115/FEDSM2012-72246

Approach to prevent spurious oscillations in compressible multicomponent flows using high-order methods. / Terashima, Hiroshi; Kawai, Soshi; Koshi, Mitsuo.

ASME 2012 Fluids Engineering Division Summer Meeting Collocated with the ASME 2012 Heat Transfer Summer Conf. and the ASME 2012 10th Int. Conf. on Nanochannels, Microchannels, and M, FEDSM 2012. PARTS A AND B. ed. 2012. p. 635-643 (American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FEDSM; Vol. 1, No. PARTS A AND B).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Terashima, H, Kawai, S & Koshi, M 2012, Approach to prevent spurious oscillations in compressible multicomponent flows using high-order methods. in ASME 2012 Fluids Engineering Division Summer Meeting Collocated with the ASME 2012 Heat Transfer Summer Conf. and the ASME 2012 10th Int. Conf. on Nanochannels, Microchannels, and M, FEDSM 2012. PARTS A AND B edn, American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FEDSM, no. PARTS A AND B, vol. 1, pp. 635-643, ASME 2012 Fluids Engineering Division Summer Meeting, FEDSM 2012 Collocated with the ASME 2012 Heat Transfer Summer Conf. and the ASME 2012 10th International Conference on Nanochannels, Microchannels, and M, FEDSM 2012, Rio Grande, Puerto Rico, 12/7/8. https://doi.org/10.1115/FEDSM2012-72246

Terashima H, Kawai S, Koshi M. Approach to prevent spurious oscillations in compressible multicomponent flows using high-order methods. In ASME 2012 Fluids Engineering Division Summer Meeting Collocated with the ASME 2012 Heat Transfer Summer Conf. and the ASME 2012 10th Int. Conf. on Nanochannels, Microchannels, and M, FEDSM 2012. PARTS A AND B ed. 2012. p. 635-643. (American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FEDSM; PARTS A AND B). https://doi.org/10.1115/FEDSM2012-72246

Terashima, Hiroshi ; Kawai, Soshi ; Koshi, Mitsuo. / Approach to prevent spurious oscillations in compressible multicomponent flows using high-order methods. ASME 2012 Fluids Engineering Division Summer Meeting Collocated with the ASME 2012 Heat Transfer Summer Conf. and the ASME 2012 10th Int. Conf. on Nanochannels, Microchannels, and M, FEDSM 2012. PARTS A AND B. ed. 2012. pp. 635-643 (American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FEDSM; PARTS A AND B).

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