Titlebook: Computational Fluid Dynamics; Finite Difference Me Guoxiang Hou,Caikan Chen,Kai Wang Book 2024 The Editor(s) (if applicable) and The Author

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Numerical Effectuation and phase velocity change caused by numerical errors are explained. And at the end of this chapter, analysis of numerical oscillations in the short-wave component of solution is implemented to display the influencing factors of numerical oscillation effect.

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Fundamentals of Lattice Boltzmann Methodundamentals of the LBM are introduced, including the most popular Bhatnagar-Gross-Krook (BGK) model, D2Q9 model for the two dimensions, boundary conditions like the non-equilibrium extrapolation scheme and so on.

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Book 2024in fluid dynamics. Furthermore, some new ideas are presented in this book, for example, a method to solve the transition matrix by difference operator transformation. For this method, the book gives the definition of Fourier integral transformation of translation operator, and proves the transition

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Therapie: Methoden und Konzeption,iptic stream Poisson equation. And for the velocity–pressure method, we mainly introduce the Maker and Cell method (MAC), which is similar to ordinary difference method in the calculation of difference equation. Then in the last part, the difference method dealing with boundary layer problems is introduced.

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Common Difference Schemes for Several Model Equationsare given, and they are summarized and compared with tables and figures. The advantages and disadvantages of different difference schemes and their application ranges are analyzed, and some issues that need attention are pointed out, such as compatibility, accuracy, computational complexity, and initial conditions.

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