Research progress of non-specific neck pain in traditional Chinese medicine and western medicine

Non-specific neck pain is a common disease in clinic,and its pathogenesis is not clear.With the progress of the times and the change of living and working habits,the incidence of non-specific neck pain is increasing year by year,which has a great impact on people’s physical and mental health,work and life.Traditional Chinese medicine mainly treats non-specific neck pain by acupuncture and massage,while western medicine generally uses exercise and manipulation therapy,but the quality of clinical evidence of all kinds of therapy is not high,which needs to be verified.This paper summarizes the research progress of traditional Chinese medicine and western medicine in the treatment of non-specific neck pain from the aspects of pathogenesis,etiology and pathogenesis of traditional Chinese medicine,and treatment of traditional Chinese medicine and western medicine,so as to provide reference for doctors in clinical treatment of this disease.

A One-Dimensional Second-Order Cell-Centered Lagrangian Scheme Satisfying the Entropy Condition

The numerical solutions of gas dynamics equations have to be consistent with the second law of thermodynamics,which is termed entropy condition.However,most cell-centered Lagrangian(CL)schemes do not satisfy the entropy condition.Until 2020,for one-dimensional gas dynamics equations,the first-order CL scheme with the hybridized flux developed by combining the acoustic approximate(AA)flux and the entropy conservative(EC)flux developed by Maire et al.was used.This hybridized CL scheme satisfies the entropy condition;however,it is under-entropic in the part zones of rarefaction waves.Moreover,the EC flux may result in nonphysical numerical oscillations in simulating strong rarefaction waves.Another disadvantage of this scheme is that it is of only first-order accuracy.In this paper,we firstly construct a modified entropy conservative(MEC)flux which can damp effectively numerical oscillations in simulating strong rarefaction waves.Then we design a new hybridized CL scheme satisfying the entropy condition for one-dimensional complex flows.This new hybridized CL scheme is a combination of the AA flux and the MEC flux.In order to prevent the specific entropy of the hybridized CL scheme from being under-entropic,we propose using the third-order TVD-type Runge-Kutta time discretization method.Based on the new hybridized flux,we develop the second-order CL scheme that satisfies the entropy condition.Finally,the characteristics of our new CL scheme using the improved hybridized flux are demonstrated through several numerical examples.