| Numerical simulation of multiphase reaction flow has been widely used in aerospace,marine,water conservancy,oil exploration,machinery manufacturing and other scientific research fields.Numerical simulation is also an indispensable research method in aero-engine flow calculation,aircraft design,weapon and ammunition design,and demolition of buildings by fixed point blasting.One of the important branches of multiphase reaction flow is hydrodynamics with chemical reactions.Detonation is a typical example.Detonation can be divided into gas phase detonation,condensed phase detonation and mixed phase detonation according to the different states of reactants and products.In this paper,the numerical simulation method of one-dimensional and two-dimensional hydrodynamic equations containing chemical reactions is studied.Considering only that reactants and products are ideal gases,we use ideal gas equation of state,the HLLC solver to calculate the numerical flux at the boundary of each element,combine Runge-Kutta method for time discretization,and finally give ALE discontinuous finite element method for equations.In higher order computation,TVD slope limiter is used to suppress the non-physical oscillation of numerical solution.The advantage of using TVD slope limiter is that it can effectively suppress the discontinuity while maintaining the monotonicity of the numerical solution and the high accuracy of the algorithm.Three one-dimensional multiphase reaction flow examples are given.The first example is the accuracy test of ALE discontinuous finite element method.The other two examples illustrate the comparison of results obtained with ALE discontinuous finite element method and finite volume method.These examples are given to illustrate that the ALE discontinuous finite element method can capture the structural characteristics of detonation wave quite clearly while maintaining the conservation of physical quantities and the high accuracy of calculation results. |
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