aşağıdaki 3 paragrafın çevirisi gerekiyor translate den çevirdim ama çok anlamsız cümleler çıkıyor.bu yazıyı cevirebilecek yada düzgün çeviren program yadasite varmı....
Various pseudo functions or general functions were introduced into multidimensional flow in turbo machinery aerodynamics to simplify governing equations, but in fact little progress has been made in the use of pseudo functions for numerical simulation. The difficulty of using pseudo functions for numerical calculation is discussed in the paper.
The numerical calculation of partial differential equations for multidimensional flow is very complicated. For the purpose of reducing variable number of governing equation, various special functions were introduced to multidimensional flow in different situations, such as the well-known potential function in irrotational flow and stream function in plane flow. Due to the restriction conditions of the existence of potential function, and the nonexistence of the stream function for 3-D flow, the original variables have to be used in numerical simulation in most cases. In order to simplify governing equation for numerical calculation, researchers went on in an effort to find some streamlike functions [1-5]. For the sake that their existence and uniqueness of these functions have not yet been proved mathematically, these functions are also referred to as pseudo functions, general functions, or others. These functions, such as pseudo-stream function and pseudo-potential function [6-8], were applied to multidimensional flow in turbomachinery aerodynamics for theoretical analysis decades ago.
Though the pseudo functions have been presented for a long time, we have hardly found related literatures about the application of pseudo functions for numerical calculation. Through comparing pseudo-stream function with stream function we can find that the transformation between original variable and pseudo-stream function is irreversible and non unique, which should be one of the main reasons for the failure in the numerical calculation. Here, the comparison of pseudo stream function with stream function will be taken as an example to illustrate above opinions.
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Various pseudo functions or general functions were introduced into multidimensional flow in turbo machinery
aerodynamics to simplify governing equations, but in fact little progress has been made in the use of pseudo functions
for numerical simulation. The difficulty of using pseudo functions for numerical calculation is discussed in the paper.
The numerical calculation of partial differential equations for multidimensional flow is very
complicated. For the purpose of reducing variable number of governing equation, various special
functions were introduced to multidimensional flow in different situations, such as the well-known
potential function in irrotational flow and stream function in plane flow.
Due to the restriction conditions of the existence of potential function, and the nonexistence of the
stream function for 3-D flow, the original variables have to be used in numerical simulation in most cases.
In order to simplify governing equation for numerical calculation, researchers went on in an effort to find
some streamlike functions [1-5]. For the sake that their existence and uniqueness of these functions have
not yet been proved mathematically, these functions are also referred to as pseudo functions, general
functions, or others. These functions, such as pseudo-stream function and pseudo-potential function [6-8],
were applied to multidimensional flow in turbomachinery aerodynamics for theoretical analysis decades
ago.
Though the pseudo functions have been presented for a long time, we have hardly found related
literatures about the application of pseudo functions for numerical calculation. Through comparing
pseudo-stream function with stream function we can find that the transformation between original
variable and pseudo-stream function is irreversible and non unique, which should be one of the main
reasons for the failure in the numerical calculation. Here, the comparison of pseudo stream function with
stream function will be taken as an example to illustrate above opinions.