In this paper, we introduce a new type of troubled-cell indicator to improve
hybrid weighted essentially non-oscillatory (WENO) schemes for solving the hyperbolic conservation laws. The hybrid WENO schemes selectively adopt the high-order
linear upwind scheme or the WENO scheme to avoid the local characteristic decompositions and calculations of the nonlinear weights in smooth regions. Therefore,
they can reduce computational cost while maintaining non-oscillatory properties in
non-smooth regions. Reliable troubled-cell indicators are essential for efficient hybrid
WENO methods. Most of troubled-cell indicators require proper parameters to detect
discontinuities precisely, but it is very difficult to determine the parameters automatically. We develop a new troubled-cell indicator derived from the mean value theorem
that does not require any variable parameters. Additionally, we investigate the characteristics of indicator variable; one of the conserved properties or the entropy is considered as indicator variable. Detailed numerical tests for 1D and 2D Euler equations are
conducted to demonstrate the performance of the proposed indicator. The results with
the proposed troubled-cell indicator are in good agreement with pure WENO schemes.
Also the new indicator has advantages in the computational cost compared with the
other indicators. 相似文献
Objective: Keyes’ two continua model is a useful concept in which mental health and mental illness exist on two separate axes. Based on this model, this study examined the prevalence and correlates of three mental health categories among older adults in China.
Methods: Cross-sectional data were derived from Wave 1 of the Study on Global AGEing and Adult Health. Participants were categorized into complete mental health (CMH), complete mental illness (CMI), and moderate mental health (MMH) groups. Multinomial logistic regressions were used.
Results: The prevalence of CMH, CMI, and MMH in China was 18%, 16%, and 66%, respectively. Being female, unmarried, younger, and feeling unhealthy were more likely to result in placement in the CMI category. Employment, education, and cognitive function were identified as important protective factors of CMH. Age, income, urban or rural residence, and physical function difficulty were associated with all three categories.
Discussion: We demonstrated the utility of the two continua model in identifying mental health needs in Chinese contexts. The findings suggest that future policy reforms and clinical interventions should establish a more comprehensive mental health category as a screening tool nationwide. The promotion of social engagement could play an important role in treating mental illness and improving positive mental health. 相似文献