摘要:

AbstractThe paper shows that the well‐known Reissner–Mindlin plate model for the clamped‐in boundary condition does not capture the boundary layer behaviour for the bending moments. This boundary layer is present in 3‐D formulation. In contrast the proposed (1,1,2) model shows this boundary layer. The strength of the boundary layer for the (1,1,2) model is a

ISSN:0748-8025    

DOI:10.1002/cnm.1630080402

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY

摘要:

AbstractThe numerical investigation of shock phenomena in gas or liquid media where enthalpy is the preferred thermodynamic variable poses special problems. When an expression for internal energy is available, the usual procedure is to employ a splitting scheme to remove source terms for the Euler equations, then upwind‐biased shock capturing algorithms are built around the Riemann problem for the conservative system which remains. However, when the governing equations are formulated in terms of total enthalpy, treatment of a pressure–time derivative as a source term leads to a Riemann problem for a system where one equation is not a conservative law. The present research establishes that successful upwind‐biased shock capturing schemes can be based upon the pseudoconservative system. The method is applied to numerical simulations of shock wave propagation in pure

ISSN:0748-8025    

DOI:10.1002/cnm.1630080403

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY

摘要:

AbstractBy using the splitting‐up technique and cubic spline method, numerical solutions of Burgers' equationut=uxx+ ϵuux, 0

ISSN:0748-8025    

DOI:10.1002/cnm.1630080404

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY

摘要:

AbstractThe use of a parallel Schwarz‐type domain decomposition procedure for 2‐D block‐structured grid generation, together with grid optimization for smoothness, orthogonality and solution accuracy, is investigated. The grid optimization algorithm considered is based on the Brackbill–Saltzman construction, a variational method which seeks to generate optimum grids by minimizing a weighted integral of three grid properties. The resulting grid generation equations are quasilinear, elliptic, partial differential equations, and therefore relatively expensive to solve. Good speed‐up factors are obtained, with efficiencies above 90 per cent on the shared‐memory Alliant FX‐8 multi‐processor, and on the Symult Systems Series 2010, a message‐passing, distributed memory system. In order to obtain such speed‐ups for typical problems, approximately 99 per cent of the code must be capable of concurrent execution. Grid refinement studies with adaptation to the compressible flow solution using the Euler equations suggest that a significant improvement in the resolution of shock waves can be achieved efficie

ISSN:0748-8025    

DOI:10.1002/cnm.1630080405

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY

摘要:

AbstractBased on investigating the eigenvalue distribution of the preconditioned matrices that arise in the finite‐element discretization of indefinite elliptic problems with preconditioning matrices, constructed on the basis of the principal coercive part of the considered elliptic problems, it is proved that the Krylov subspace CG‐type methods like MINRES converge with a rate of convergence determined only by the stability properties of the discrete problem in terms of a priori estimates and the accuracy of the preconditioning matrix with respect to the principal coercive part of the considered finite‐element stiffness matrix. This is also demonstrated by numerical experiments. The method is of practical interest if there are only a few negative eigenv

ISSN:0748-8025    

DOI:10.1002/cnm.1630080406

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY

摘要:

AbstractThe damping parameter is commonly used when assessing a vibration system or analysing dynamical response, as well as reducing vibration levels. A basic step towards analysing a damped system is to solve its complex eigenvalues. However, the solution is computer‐time‐consuming. An alternative way is to get the damping ratio matrix so that the behaviour of the system in each mode can be determined. This paper presents a simple means of identifying the corresponding relation between the mode number and its damping ratio by a matrix perturbation method which leads to the transformation perturbation or TP method. The equivalence of the complex eigenproblem of damped systems and transformed damping matrix in calculating the damping ratios is also discus

ISSN:0748-8025    

DOI:10.1002/cnm.1630080407

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY

摘要:

AbstractThe validity of the Ziekiewicz–Zhua posteriorierror estimator for elasticity problems involving more than one material is examined. A simple modification to the estimation process is suggested to obtain acceptable error indicators and error estimator values for problems involving multiple material

ISSN:0748-8025    

DOI:10.1002/cnm.1630080408

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY

ISSN:0748-8025    

DOI:10.1002/cnm.1630080409

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY

ISSN:0748-8025    

DOI:10.1002/cnm.1630080401

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY