Directionally adaptive least squares finite element method for the compressible euler equations /
Amr Gamal Mohamad Guaily
Directionally adaptive least squares finite element method for the compressible euler equations / طريقة اقل التربيعات للعناصر المحدودة متوائمة الاتجاه لمعادلات اويلر الانضغاطية Amr Gamal Mohamad Guaily ; supervised Adelbdelrahman Megahed , Mohamed Madboly Abdelrahmann - Cairo : Amr Gamal Mohamad Guaily , 2006 - 107 P : charts ; 30cm
Thesis (M.Sc.) - Cairo University - Faculty Of Engineering - Department Of Electrical Power and Machines
The least - squares finite element method is used to solve the compressible Euler equations in both 2 - D Cartesian and axisymmetric formsSince the method is naturally diffusive , no explicit artificial viscosity is added to the for - mulationThe inherent artificial viscosity , however , is usually large and hence does not allow sharp resolution of discontinuities unless extremely fine grids are usedTo remedy this problem , while retaining the advantages of the least squares method , a moving - node grid adaptation technique is usedThe out - standing feature of the adaptive method is its sensitivity to directional features like shock waves , leading to the automatic construction of adapted grids where the element edge (s) are strongly aligned with such flow phenomena
Element method Least squares finite
Directionally adaptive least squares finite element method for the compressible euler equations / طريقة اقل التربيعات للعناصر المحدودة متوائمة الاتجاه لمعادلات اويلر الانضغاطية Amr Gamal Mohamad Guaily ; supervised Adelbdelrahman Megahed , Mohamed Madboly Abdelrahmann - Cairo : Amr Gamal Mohamad Guaily , 2006 - 107 P : charts ; 30cm
Thesis (M.Sc.) - Cairo University - Faculty Of Engineering - Department Of Electrical Power and Machines
The least - squares finite element method is used to solve the compressible Euler equations in both 2 - D Cartesian and axisymmetric formsSince the method is naturally diffusive , no explicit artificial viscosity is added to the for - mulationThe inherent artificial viscosity , however , is usually large and hence does not allow sharp resolution of discontinuities unless extremely fine grids are usedTo remedy this problem , while retaining the advantages of the least squares method , a moving - node grid adaptation technique is usedThe out - standing feature of the adaptive method is its sensitivity to directional features like shock waves , leading to the automatic construction of adapted grids where the element edge (s) are strongly aligned with such flow phenomena
Element method Least squares finite