Numerical Simulations of Shock Problems With the Revised KDF-SPH Method

LI Hongyang; RAHMATJAN Imin

doi:10.21656/1000-0887.440304

Volume 45 Issue 12

Dec. 2024

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LI Hongyang, RAHMATJAN Imin. Numerical Simulations of Shock Problems With the Revised KDF-SPH Method[J]. Applied Mathematics and Mechanics, 2024, 45(12): 1483-1493. doi: 10.21656/1000-0887.440304

Citation:

LI Hongyang, RAHMATJAN Imin. Numerical Simulations of Shock Problems With the Revised KDF-SPH Method[J]. Applied Mathematics and Mechanics, 2024, 45(12): 1483-1493. doi: 10.21656/1000-0887.440304

Citation:

LI Hongyang, RAHMATJAN Imin. Numerical Simulations of Shock Problems With the Revised KDF-SPH Method[J]. Applied Mathematics and Mechanics, 2024, 45(12): 1483-1493. doi: 10.21656/1000-0887.440304

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Numerical Simulations of Shock Problems With the Revised KDF-SPH Method

doi: 10.21656/1000-0887.440304

College of Mathematics and System Science, Xinjiang University, Urumqi 830000, P.R.China

Funds:

The National Science Foundation of China(51565054)

Received Date: 2023-10-10
Rev Recd Date: 2024-03-19

Available Online: 2024-12-27

Abstract

Abstract

Based on the smooth kernel approximation and the Taylor series expansion of the smooth particle hydrodynamics (SPH) method, the kernel function moment was used to revise the KDF-SPH (kernel derivative free SPH) method. To prove the applicability and feasibility of the proposed revised scheme, the scheme was applied to the numerical simulations of 1D shock tube problems under different conditions, and the simulation results were analyzed. The results show that, the revised method can well capture the positions and strengths of shock waves and contact discontinuities. The revised method does not require the derivability of the kernel function, does not calculate the kernel function moment, and has a smaller computation cost with a higher calculation efficiency.
- smooth particle hydrodynamics kernel approximation,
- shock wave,
- revise,
- numerical solution

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References(27)

References

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