แนวคิดหลัก
The author presents versatile mixed methods for compressible flows, emphasizing their stability and accuracy in various flow regimes.
บทคัดย่อ
The content discusses the development and application of versatile mixed finite element methods for compressible flows. These methods are shown to be stable, accurate, and suitable for a wide range of flow conditions. Various stabilization strategies are explored, highlighting the advantages of these methods over traditional approaches.
Key points include the extension of versatile mixed methods from incompressible to compressible flows, classification of finite element methods based on stabilization strategies, and demonstration of stability under non-isothermal conditions. The content also covers numerical experiments showcasing the accuracy and convergence properties of the proposed methods.
Overall, the article provides a comprehensive overview of versatile mixed methods for compressible flows, emphasizing their flexibility and performance across different flow scenarios.
สถิติ
Unlike traditional mixed methods, versatile mixed methods retain divergence terms in momentum and temperature equations.
The article discusses numerical-flux-based stabilization strategies used in discretization.
Kinetic-energy-based stabilization is highlighted as an alternative to entropy-based stabilization.
Inf-sup stabilization strategy ensures pressure field uniqueness and boundedness in incompressible flows.