lagrangian well balanced finite volume method for compressible viscoplastic flows

... where n : Manning coefficient for the bed roughness τ x = ρC f u u , C f = 2.2 Numerical scheme The finite volume formulation imposes conservation laws in a control volume Integration of Eq (1) ... Port, Coastal and Ocean Engineering 124 (1998) 157 [9] Y Wei, X.Z Mao, K.F Cheung, Well- balanced Finite Volume Model for Long wave runup, Journal of Waterway, Port, Coastal and Ocean Engineering 132 ... recorded for comparing with the experimental data Initial Condition Similar to Synolakis's (1987) 0.5 (m) For the numerical simulation, the initial solitary wave is simulated by the solitary wave formula...

Ngày tải lên: 22/03/2014, 12:20

... 4.1 Well- balancing 4.2 Consistency 4.3 Stability 4.4 Required properties for Saint Venant schemes 4.5 Explicitly well- balanced ... resonance phenomenon, as well as at the level of numerical methods The numerical diculty here is to treat the dierential term and the source as a whole, in such a way that the well- balanced property ... solutions over the cells, Uin xi U (tn , x) dx (2.4) Ci A nite volume conservative scheme for solving (1.8) is a formula of the form Uin+1 Uin + t (Fi+1/2 Fi1/2 ) = 0, xi (2.5) telling how...

Ngày tải lên: 23/03/2014, 01:20

... Fundamentals of the Finite Element Method for Heat and Fluid Flow Fundamentals of the Finite Element Method for Heat and Fluid Flow Roland W Lewis University of ... 3.3 Formulation (Element Characteristics) 3.3.1 Ritz method (Heat balance integral method Goodman’s 3.3.2 Rayleigh–Ritz method (Variational method) 3.3.3 The method of ... method 3.4 Formulation for the Heat Conduction Equation 3.4.1 Variational approach 3.4.2 The Galerkin method 3.5 Requirements for...

Ngày tải lên: 17/03/2014, 13:53

... rates for each method are also presented A quadratic convergence rate was obtained for the mimetic method, as one would expect from previous theoretical analysis on the convergence rate of the method ... generality and for methodological reasons, our analysis will be developed for the one-dimensional steady-state diffusion equation In this case, the divergence theorem takes the form dv f dx + ... discretizations in (4.1) then it represents a mimetic method for the steady state diffusion equations The original idea of introducing (4.1) as a mimetic method for Poisson equation was given in [7] However,...

Ngày tải lên: 22/06/2014, 19:20

... developed for lowspeed incompressible flows, while the density-based approach was mainly used for highspeed compressible flows However, recently both methods have been extended and reformulated ... Chapter An Alternative Finite Volume Discretization of Body Force Field on Collocated Grid 101 Jure Mencinger Chapter Alternative Methods for Generating Elliptic Grids in Finite Volume Applications ... al., 1958) Application of Finite Volume Method in Fluid Dynamics and Inverse Design Based Optimization 23 Finite volume method based optimization and inverse design for aeronautical applications...

Ngày tải lên: 28/06/2014, 14:20

... coupling the transfer matrix formulation to the weak integral form of the acoustical problem As presented above, one can easily build a library of transfer matrices for different types of complex ... Also, as it will be shown, it makes the coupling between the transfer matrix method and the finite element method natural For an eventual finite element implementation, the admittance matrix of the ... term of the integral formulation depends on the boundary conditions applied to the system By substituting Eq (10) into Eq (8), the following finite element system is formed for the hollow body...

Ngày tải lên: 03/12/2014, 23:41

... Cement Volume 44 Effects of Varying PMMA Spatial Distribution 46 2.7.3 Computational Biomechanics for Vertebroplasty Research 48 Finite Volume Method and Finite Element Method ... short for volume pixel, are the smallest entity for a 3D volumetric dataset Volumetric datasets are created by stacking series of 2D images, thus creating depth and combining adjacent pixels to form ... for Intraosseous Flow Simulation 148 Generating the Vertebral Body Finite Volume Mesh 148 Grouping of Finite Volumes for Automatic Permeabilty Assignment 150 Smoothening of the Voxel-based...

Ngày tải lên: 13/09/2015, 21:18

... derived for compressible/ incompressible viscous/inviscid flows with this method Finite volume method which can provide numerical dissipation to capture shock waves and other discontinuities in compressible ... Computational Fluid Dynamics NS Navier-Stokes FDM Finite Difference Method FVM Finite Volume Method FEM Finite Element Method LBM Lattice Boltzmann Method LBE Lattice Boltzmann Equation LGA Lattice ... coefficients method This idea should be very useful for developing LB models for compressible flows 11 1.3.2 Current LB models for compressible flows As introduced in the last subsection, the polynomial forms...

Ngày tải lên: 14/09/2015, 14:01

... The Finite Element Heterogeneous Multiscale Method (FE-HMM) 22 3.0.1 Model problems 22 The finite element heterogeneous multiscale method (FE-HMM) 23 3.1.1 Macro finite ... effective 10 information for the macro solver, where standard finite element methods are used Details on FE-HMM can be found in Chapter 1.7 The Isogeometric Analysis Heterogeneous Multiscale Method (IGA-HMM) ... conditions for = 1.1, = 35 and Periodic coupling condition for = 3.7 34 H error when using periodic coupling conditions for = 1.1, = 3.9 34 L2 norm between Dirichlet coupling conditions for...

Ngày tải lên: 21/11/2015, 21:05

... p ρ (2.9) Discontinuous Galerkin Method Formulation of DG method The finite difference schemes [21, 30, 31] solve Eqn (2.1) in the difference form For the Finite Volume schemes [23, 15], Eqn (2.13) ... actual simulation The Finite Volume (FV) schemes are a class of numerical methods which are constructed by applying the integral form of the NS equations on the control volume With the application ... Introduction [36, 37] method, which is similar to FE method, were applied for DNS and LES problems due to their very high resolution property But, similar to FE methods, the SE methods also require...

Ngày tải lên: 09/09/2015, 18:52

... 1999) The Finite Element Method Fifth edition Volume 1: The Basis O.C Zienkiewicz, CBE, FRS, FREng UNESCO Professor of Numerical Methods in Engineering International Centre for Numerical Methods ... Deviatoric stress and strain, pressure and volume change 12.3 Two-®eld incompressible elasticity (u±p form) 12.4 Three-®eld nearly incompressible elasticity (u±p±"v form) 12.5 Reduced and selective integration ... ®nite element methods In Volume we stress the relationship between the ®nite element method and the more classic ®nite di€erence and boundary solution methods We show that all methods of numerical...

Ngày tải lên: 14/03/2014, 15:20

... Variational description for finitite deformation A three-field mixed finite deformation forumation A mixed-enhanced finite deformation forumation Forces dependent on deformation - pressure ... The Finite Element Method Fifth edition Volume 2: Solid Mechanics O.C Zienkiewicz, CBE, FRS, FREng UNESCO Professor of Numerical Methods in Engineering International Centre for Numerical Methods ... integration, and non-conforming elements 11 Mixed formulation and constraints ± complete ®eld methods 12 Incompressible problems, mixed methods and other procedures of solution 13 Mixed formulation and...

Ngày tải lên: 14/03/2014, 15:20

... The Finite Element Method Fifth edition Volume 3: Fluid Dynamics O.C Zienkiewicz, CBE, FRS, FREng UNESCO Professor of Numerical Methods in Engineering International Centre for Numerical Methods ... buoyancy and turbulent flows incompressible 5.1 Introduction flows 5.2 Free surface flows 5.3 Buoyancy driven flows 5.4 Turbulent Compressible high-speed gas flow ... integration, and non-conforming elements 11 Mixed formulation and constraints ± complete ®eld methods 12 Incompressible problems, mixed methods and other procedures of solution 13 Mixed formulation and...

Ngày tải lên: 14/03/2014, 15:20

Ngày tải lên: 17/03/2014, 13:45

... The Finite Element Method Fifth edition Volume 3: Fluid Dynamics O.C Zienkiewicz, CBE, FRS, FREng UNESCO Professor of Numerical Methods in Engineering International Centre for Numerical Methods ... buoyancy and turbulent flows incompressible 5.1 Introduction flows 5.2 Free surface flows 5.3 Buoyancy driven flows 5.4 Turbulent Compressible high-speed gas flow ... integration, and non-conforming elements 11 Mixed formulation and constraints ± complete ®eld methods 12 Incompressible problems, mixed methods and other procedures of solution 13 Mixed formulation and...

Ngày tải lên: 22/03/2014, 11:20

... include finite difference methods, boundary element methods, the superposition method described in Electra 87 [5] and the approaches combining conformal transformation and the finite difference method ... method 13 1.4 Alternative methods .13 Overview of the finite element method 15 Practical considerations when applying the finite element method for cable rating calculations ... approach Examples of application of the finite element method for cable rating calculations The following examples show applications of the finite element method for current rating calculations of...

Ngày tải lên: 04/04/2014, 12:38

... not behave well for M = N = due to numerical locking However, it behaves well when the number of terms are increased One can use one more term for w than for Ψ (i.e., M = N + 1) Indeed, for M = ... squares method and the Galerkin method give the same equations Furthermore, the solution of the Galerkin and least squares methods would be the same as that of the Ritz method For the collocation method, ... that for this case the weak form is not linear in u or w However, a functional can be constructed for this using the potential operator theory (see: J T Oden and J N Reddy, Variational Methods...

Ngày tải lên: 08/04/2014, 10:38

... Ti / ∅ There are many authors introduced iterative method for finding an element of F which is an optimal point for the minimization problem For n > N, Tn is understood as T n mod N with the mod ... order to make it well- defined In 2009, Kangtunyakarn and Suantai introduced a new mapping, called Kmapping, for finding a common fixed point of a finite family of nonexpansive mappings For a finite family ... only if the inequality x − y, y − z ≥ for all z ∈ C, ii PC is nonexpansive, iii x − y, PC x − PC y ≥ PC x − PC y for all x, y ∈ H, iv x − PC x, PC x − y ≥ for all x ∈ H and y ∈ C Main Result In...

Ngày tải lên: 21/06/2014, 11:20