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<p>We set up a finite difference method for a scalar combustion model problem. An upwind scheme with flux perturbation at detonation wave discontinuity and a projection method are applied. Under a Courant-Friedrichs-Lewy condition the maximum norm estimates are given. Then convergence to weak solution is proved. For the Riemann problem, convergence to strong detonation wave or to Chapman-Jouguet detonation wave is also proved. Numerical experiments are presented.</p>

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A New Finite Difference Method for Strong Detonation Waves and Chapman-Jouguet Detonation Waves

  • 期刊论文

  • 发表日期：

    2025年5月31日

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  • Chun-long Yang,
  • Xiao-zhou Yang

摘要

We set up a finite difference method for a scalar combustion model problem. An upwind scheme with flux perturbation at detonation wave discontinuity and a projection method are applied. Under a Courant-Friedrichs-Lewy condition the maximum norm estimates are given. Then convergence to weak solution is proved. For the Riemann problem, convergence to strong detonation wave or to Chapman-Jouguet detonation wave is also proved. Numerical experiments are presented.