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Convergence properties of detonation simulations

Qian, Chengeng (author)
Beijing Inst Technol, State Key Lab Explos Sci & Technol, Beijing, Peoples R China.
Wang, Cheng (author)
Beijing Inst Technol, State Key Lab Explos Sci & Technol, Beijing, Peoples R China.
Liu, JianNan (author)
Taiyuan Univ Technol, Coll Min Engn, Taiyuan, Shanxi, Peoples R China.
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Brandenburg, Axel (author)
Stockholms universitet,KTH,Nordic Institute for Theoretical Physics NORDITA,Stockholm Univ, Stockholm, Sweden.;Stockholm Univ, Dept Astron, Stockholm, Sweden.;Univ Colorado, JILA, Boulder, CO 80309 USA.;Univ Colorado, Lab Atmospher & Space Phys, Boulder, CO 80309 USA.,Nordiska institutet för teoretisk fysik (Nordita),Institutionen för astronomi,University of Colorado, USA
Haugen, Nils E. L. (author)
SINTEF Energy Res, Trondheim, Norway.
Liberman, Michael A. (author)
Stockholms universitet,KTH,Nordic Institute for Theoretical Physics NORDITA,Stockholm Univ, Stockholm, Sweden.,Nordiska institutet för teoretisk fysik (Nordita)
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Beijing Inst Technol, State Key Lab Explos Sci & Technol, Beijing, Peoples R China Taiyuan Univ Technol, Coll Min Engn, Taiyuan, Shanxi, Peoples R China. (creator_code:org_t)
2019-09-25
2020
English.
In: Geophysical and Astrophysical Fluid Dynamics. - : Taylor & Francis. - 0309-1929 .- 1029-0419. ; 114:1-2, s. 58-76
  • Journal article (peer-reviewed)
Abstract Subject headings
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  • We present a high-resolution convergence study of detonation initiated by a temperature gradient in a stoichiometric hydrogen-oxygen mixture using the PENCIL CODE and compare with a code that employs a fifth order weighted essentially non-oscillating (WENO) scheme. With Mach numbers reaching 10-30, a certain amount of shock viscosity is needed in the PENCIL CODE to remove or reduce numerical pressure oscillations on the grid scale at the position of the shock. Detonation is found to occur for intermediate values of the shock viscosity parameter. At fixed values of this parameter, the numerical error associated with those small wiggles in the pressure profile is found to decrease with decreasing mesh width like down to . With the WENO scheme, solutions are smooth at , but no detonation is obtained for . This is argued to be an artifact of a decoupling between pressure and reaction fronts.

Subject headings

NATURVETENSKAP  -- Fysik -- Astronomi, astrofysik och kosmologi (hsv//swe)
NATURAL SCIENCES  -- Physical Sciences -- Astronomy, Astrophysics and Cosmology (hsv//eng)
NATURVETENSKAP  -- Fysik (hsv//swe)
NATURAL SCIENCES  -- Physical Sciences (hsv//eng)

Keyword

Combustion
numerical methods
detonation
shock waves
chemical reaction

Publication and Content Type

ref (subject category)
art (subject category)

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