In this paper, non-oscillatory numerical schemes with high order of accuracy are presented for solving Hamilton-Jacobi equations on structured meshes; An adaptive local refinement method is developed for local regions...
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In this paper, non-oscillatory numerical schemes with high order of accuracy are presented for solving Hamilton-Jacobi equations on structured meshes; An adaptive local refinement method is developed for local regions where solutions of Hamilton-Jacobi equations varies sharply. Numerical results illustrate that the non-oscillatory schemes are stable and the adaptive local refinement method im- proves the accuracy of numerical solutions and the resolution for discontinuity.
In this paper, generalized from some monotone scheme, a class of MUSCL- Type finite difference E schemes is presented. It is proved to have second order accuracy both in space and time. And applying the theory of entr...
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In this paper, generalized from some monotone scheme, a class of MUSCL- Type finite difference E schemes is presented. It is proved to have second order accuracy both in space and time. And applying the theory of entropy measure- valued solution, we proved the family of approximate solutions converge to the unique entropy weak l∞ -solution. Based on the character in 1-D,the convergence to the unique entropy weak l∞ -solution is proved in 2-D. Finally, we performed numerical experiments with these schemes for system of Euler equations in both 1-D and 2-D, and the results showed that these schemes had high resolution ability for shocks, rarefactions and contact discontinuities.
The matrix block method presented in this paper greatly simplifies and quickens the numerical solution of numerous time dependent coupled rate equations. The solution of the coupled rate equations in the quasi steady ...
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The matrix block method presented in this paper greatly simplifies and quickens the numerical solution of numerous time dependent coupled rate equations. The solution of the coupled rate equations in the quasi steady state is also presended. The physical meaning of the matrices defined in the solution is discussed. By using the matrix block method to solve the coupled rate equations of 1409 states in Ta plasmas in the steady state and considering the effect of the reabsorption of resonance lines, the optimum region in the N e/T e plane for gain of the 4.483 nm laser line in Ni like Ta collisional x ray lasers is presented. The effects of autoionization and dielectronic capture on the population of Ni like Ta ions are also discussed.
The coupled neutron and photon transport Monte Carlo code MCNP (version 3B) has been realized the parallelization in PVM and MPI by modifying serial code. The results of sample problems prove the correction of code. T...
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The coupled neutron and photon transport Monte Carlo code MCNP (version 3B) has been realized the parallelization in PVM and MPI by modifying serial code. The results of sample problems prove the correction of code. The speedup increases linearly and the efficiencies are up to 98.5% relate to parallel code and up to 95.7% relate to serial code for 12-processor, respectively.
Numerical calculations of the response of an aluminum target impacted by an aluminum flyer driven by an intense laser are presented. The state of the accelerated flyer and the characteristics of shock wave propagation...
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Numerical calculations of the response of an aluminum target impacted by an aluminum flyer driven by an intense laser are presented. The state of the accelerated flyer and the characteristics of shock wave propagation in the target are described in detail. If the parameters of laser and flyer target structure are selected reasonably, an approximately symmetric impact can be realized between the flyer and the target, also the shock wave in the target has a wide stable range. Therefore the absolute measurement for the equation of state (EOS) can be almost achieved in laser EOS experiments with the bothside step target of suitable thickness.
By asing the nonclassical method of symmetry reductions, the exact solutions for general variable coefficient KdV equation with dissipative loss and nonuniformity terms are obtained. When the dissipative loss and non...
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By asing the nonclassical method of symmetry reductions, the exact solutions for general variable coefficient KdV equation with dissipative loss and nonuniformity terms are obtained. When the dissipative loss and nonuniformity terms don't exist, the multisoliton solutions are found and the corresponding Painleve II type equation for the variable coefficient KdV equation is given.
The equation of state of hydrogen and its isotopesat high pressure are one of the main subjects on highenergy-density physics, it is meaning a lot notonly for the theoretical research on the interaction ofdiatomic mol...
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The equation of state of hydrogen and its isotopesat high pressure are one of the main subjects on highenergy-density physics, it is meaning a lot notonly for the theoretical research on the interaction ofdiatomic molecule gas,for the calculation ofhydrogen gas storage in high pressure, but also forthe practical research of the detonation effective andof the designing deuterated capsules for inertialconfinement *** temperature of gaseous substance will beraised rapidly under shock compession, Themolecules and atoms composed of gas will bedissociated and ionized, the dissociating moleculesbecome atoms, the ionizing atom become ions,
This paper investigates ejection of metal surface groove under shock wave with molecular dynamics simulation. By using a hybrid tight-binding-like potential, the process of ejection was shown and the wave series propa...
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This paper investigates ejection of metal surface groove under shock wave with molecular dynamics simulation. By using a hybrid tight-binding-like potential, the process of ejection was shown and the wave series propagating in material was classified. After ejection, there propagate one reflection rarefaction wave and one second uploading compression wave in material. And we also observe one negative pressure district and one high-pressure district induced by two wave series. When half-angle of groove is more than 60 degree, there is not ejection, and this is consistent with experiment. Meanwhile, we also study the dependence of the velocity of ejection atom and moving velocity of free surface on the initial shock wave and groove angle, and turn out that two velocities and the groove half-angle is in the direct ratio. In general, the molecular dynamics is good tools to study the interaction between the shock wave with surface, and the insight of ejection is reveal.
In this note we prove two theorems on the uniqueness of unbounded classical solutions of the magnetic Benard system which includes the classical Navier-Stokes equation, the Boussinesq equation and the magnetohydrodyna...
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In this note we prove two theorems on the uniqueness of unbounded classical solutions of the magnetic Benard system which includes the classical Navier-Stokes equation, the Boussinesq equation and the magnetohydrodynamic equation as special cases.
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