Euler方程组的近似黏性解
Approximating viscosity solutions of the Euler system
摘要：
应用S-收敛的概念，基于强大数律的平均，研究了Euler方程组的消失黏性解.我们展示了如何有效地计算欧拉系统的黏性解作为粘性有限体积法得到的数值解的S极限。通过对Kelvin-Helmholtz不稳定性问题的数值模拟，说明了理论结果。
英文摘要：
Applying the concept of S-convergence, based on averaging in the spirit of Strong Law of Large Numbers, the vanishing viscosity solutions of the Euler system are studied. We show how to efficiently compute a viscosity solution of the Euler system as the S-limit of numerical solutions obtained by the Viscosity Finite Volume method. Theoretical results are illustrated by numerical simulations of the Kelvin--Helmholtz instability problem.
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