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Abstract
A kind of direct numerical simulation method suitable for supercritical carbon dioxide jet flow has been discussed in this paper. The form of dimensionless nonconservative compressible Navier-Stokes equations in a two-dimensional cartesian coordinate system is derived in detail. High accurate finite difference compact schemes based on non-uniform grid system are introduced to solve the equations. The simulation results of the three vortex pairing phenomenon of plane mixing layer and a compressible axisymmetric jet flow field show that the discussed numerical simulation method is feasible to calculate the supercritical carbon dioxide jet fluid. And it is found that the difficulties of splitting the convective terms in conservation Navier-Stokes equations, which are brought by the supercritical carbon dioxide fluid pressure state equation, can be avoided by solving the nonconservative compressible Navier-Stokes equations.
Highlights
Supercritical carbon dioxide fluid refers to carbon dioxide fluid at more than the critical temperatureTc 31.1°C and critical pressure pc 7.4 MPa
A kind of direct numerical simulation method suitable for supercritical carbon dioxide jet flow has been discussed in this paper
The simulation results of the three vortex pairing phenomenon of plane mixing layer and a compressible axisymmetric jet flow field show that the discussed numerical simulation method is feasible to calculate the supercritical carbon dioxide jet fluid
Summary
Tc 31.1°C and critical pressure pc 7.4 MPa. Its density is close to liquid, its diffusivity and viscosity is close to gas, and it has strong solvency. The researchers usually study supercritical carbon dioxide fluid using turbulence model numerical simulation method. Based on the above content, a kind of direct numerical simulation method suitable for supercritical carbon dioxide jet flow is discussed in this paper. On the basis of analyzing the characteristics of Jacobian matrix, suitable numerical scheme can be selected to solve the discreted conservative compressible Navier-Stokes equations. It is usually difficult to obtain a pressure state equation just as p f , e described in literature [9] for non perfect gas, especially for supercritical carbon dioxide fluid. A numerical simulation method using high accurate finite difference schemes for solving nonconservative compressible Navier-Stokes equations is performed in this paper, in order to avoid the difficulties of splitting the convective terms in conservation NavierStokes equations, which is brought by the supercritical carbon dioxide fluid pressure state equation
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