TAILIEUCHUNG - Ebook The finite element method (4th edition - Volume 3: Fluid dynamics): Part 2

(BQ) Part 2 book "The finite element method" has contents: Compressible high-speed gas flow, shallow-water problems, waves, computer implementation of the CBS algorithm. Invite you to reference. | 6 Compressible high-speed gas ¯ow Introduction Problems posed by high-speed gas ¯ow are of obvious practical importance. Applications range from the exterior ¯ows associated with ¯ight to interior ¯ows typical of turbomachinery. As the cost of physical experiments is high, the possibilities of computations were explored early and the development concentrated on the use of ®nite di erence and associated ®nite volume methods. It was only in the 1980s that the potential o ered by the ®nite element forms were realized and the ®eld is expanding rapidly. One of the main advantages in the use of the ®nite element approximation here is its capability of ®tting complex forms and permitting local re®nement where required. However, the improved approximation is also of substantial importance as practical problems will often involve three-dimensional discretization with the number of degrees of freedom much larger than those encountered in typical structural problems (105 ±107 DOF are here quite typical). For such large problems direct solution methods are obviously not practicable and iterative methods based generally on transient computation forms are invariably used. Here of course we follow and accept much that has been established by the ®nite di erence applications but generally will lose some computational e ciency associated with structured meshes typically used here. However, the reduction of the problem size which, as we shall see, can be obtained by local re®nement and adaptivity will more than compensate for this loss (though of course structured meshes are included in the ®nite element forms). In Chapters 1 and 3 we have introduced the basic equations governing the ¯ow of compressible gases as well as of incompressible ¯uids. Indeed in the latter, as in Chapter 4, we can introduce small amounts of compressibility into the procedures developed there speci®cally for incompressible ¯ow. Here we shall deal with highspeed ¯ows with Mach numbers generally in excess

• Cơ khí - Chế tạo máy
• The finite element method
• Compressible high speed gas flow
• Shallow water problems
• Computer implementation of the CBS algorithm
• Multigrid methods
• Further topics
• The boundary element method
• Computational aspects
• Lecture Finite element method
• Finite element method
• Basis equation of plane problem
• Finite element discretization
• Quadrilateral plane element
• Triangular plane element
• Introduction to the finite element method
• Finite element equations
• Heat transfer
• Fem for solid mechanics problems
• Finite elements
• The finite element method in engineering
• Interpolation models
• Isoparametric elements
• System equations
• Introduction to mechanics
• Fundamentals for finite element method
• FEM for beams
• FEM for frames
• FEM for Two Dimensional solids
• Finite element method using MATLAB
• CRC Mechanical engineering series
• Approximation techniques
• Finite element programming
• Direct approach
• Vietnam Journal of Mechanics
• Smoothed finite element method
• Two dimensional elasto plasticity
• The finite element
• The smoothed finite element method
• Mesh distortion and volumetric locking
• The isoparametric concept
• Higher order elements
• Adaptive finite element refinement
• The time dimension
• Couple systems
• Finite element analysis
• Computer procedures
• Locking phenomena in finite element analysis
• Deep beam and removal method
• Exhibit slow convergence
• Finite Element Methods
• Bài giảng Phương pháp phần tử hữu hạn
• Stiffness method
• Stiffness matrix
• Boundary conditions
• Lecture Structural analysis
• Finite element
• Structural analysis
• Finite element approach
• Element approach
• A first course in the finite element method
• Introduction to the stiffness method
• Development of truss equations
• Development of beam equations
• The plane stress
• Numerical method
• Electro Magnetic analysis
• Thermal analysis
• Axisymmetric elements
• Isoparametric formulation
• Three dimensional stress analysis
• Plate bending element
• Vibrational principles
• Galerkin approximation
• Partial differential equations
• Isoparametric finite elements
• Historical introduction
• Weighted residual
• Variational methods
• Elliptic problems
• Heat and fluid flow
• Some basic discrete systems
• Steady state heat conduction
• Transient heat conduction analysis
• Truss structures
• Elasticity problem
• Basic equations
• Solution procedure
• Three dimensional problems
• Dynamic analysis
• Cast3m implementation of the extended finite element method
• The extended finite element method for cohesive crack
• Quasi brittle materia
• The proposed implementation
• The displacement discontinuities
• The node based smoothed finite element method
• Free vibration problems
• The proposed formulation
• No spurious non zero energy modes
• Science and technology development
• Extended finite element method
• Simulating the mechanical behavior
• Multiple random holes and inclusions
• Functionally graded material
• The finite element method software
• Tạp chí khoa học và công nghệ
• Modeling the mechanical behavior
• Functionally graded material plates with multiple random inclusions
• Modeling of electromagnetic force
• Magnetic vector potential formulation via
• Sbproblem finite element method
• Subproblem finite element method
• Magnetic vector potential formulation