ISSN:0044-2267    

DOI:10.1002/zamm.19970770902

出版商:WILEY‐VCH Verlag    

年代:1997

数据来源: WILEY

摘要:

AbstractIn this note, we deal with the domain decomposition method with nonmatching grids for the Laplace operator in the Sobolev space W 01,p(Ω) for 2

ISSN:0044-2267    

DOI:10.1002/zamm.19970770903

出版商:WILEY‐VCH Verlag    

年代:1997

数据来源: WILEY

摘要:

AbstractShock capturing numerical methods expressed in terms of conservative variables produce erroneous solutions when applied to multicomponent flows. Numerical schemes expressed in terms of primitive variables are able to provide accurate results for non‐shocked multicomponent flows. An assessment of four hybrid primitive‐conservative upwind schemes is presented for the solution of multicomponent flows involving strong shock waves. The schemes used are theMUSCL‐Hancock scheme, the Weighted Average Flux scheme, and modified versions of the Generalised Riemann Problem, and Piecewise Linear Methods. These four hybrid schemes provide accurate solutions to such problems, and numerical experiments suggest that they converge. It is also shown that conservative methods may often provide satisfactory results when applied to multicomponent problems when the flow is dominated by strong s

ISSN:0044-2267    

DOI:10.1002/zamm.19970770904

出版商:WILEY‐VCH Verlag    

年代:1997

数据来源: WILEY

摘要:

AbstractWe investigate the eigenvalue problem of the Stokes operator in an open bounded rectangular parallelepiped of the ℝ3supplemented with homogeneous Dirichlet boundary conditions on two face to face lying lateral surfaces and periodical conditions in the directions orthogonal to the other faces. By separation we deduce a corresponding system of ordinary differential equations. We look for solutions as solenoidal vector fields satifying the boundary conditions. The investigation of possible cases yields either the explicit eigenfunctions and eigenvalues or equations for determining the eigenvalues and a general deduced form of the eigenfunctions. In the appendix we give an example of the first eigenvalues of the Stokes operator for fixed l = 2.6

ISSN:0044-2267    

DOI:10.1002/zamm.19970770905

出版商:WILEY‐VCH Verlag    

年代:1997

数据来源: WILEY

ISSN:0044-2267    

DOI:10.1002/zamm.19970770906

出版商:WILEY‐VCH Verlag    

年代:1997

数据来源: WILEY

摘要:

AbstractIn this paper we investigate the propagating solutions of the acoustic equation in a stratified shallow ocean with a poroelastic, semi‐infinite seabed. The ocean‐seabed system is first Hankel transformed. Then the method of transmutation is used to generate the transformed solutions in the water column; whereas, the modal seabed equations are solved using the computer algebra Macsyma. In the water column the transformed solutions are first decomposed using the Mittag‐Leffler expansion for the discrete spectrum. Both the discrete and continuous spectrum are then used to give a spectral representation of the solution, from which we develop a numerical scheme. Some numerical examples are given to illustrate the m

ISSN:0044-2267    

DOI:10.1002/zamm.19970770907

出版商:WILEY‐VCH Verlag    

年代:1997

数据来源: WILEY

摘要:

AbstractSufficient stability conditions are derived for transversal oscillations of a thin‐walled viscoelastic pipe filled with a moving fluid. By using two different approaches, explicit expressions are developed for the critical flow velocities. In particular, steady flow and time‐periodic flow are considered. The effect of material and geometrical parameters on the critical velocity is studied numerica

ISSN:0044-2267    

DOI:10.1002/zamm.19970770908

出版商:WILEY‐VCH Verlag    

年代:1997

数据来源: WILEY

摘要:

AbstractThis paper deals with the three dimensional analysis of the stress distribution in a long circular cylinder containing an elliptical crack. The surface of the crack is perpendicular to the axis of the cylinder and is subjected to a constant pressure. The equations of the classical theory of elasticity are solved in terms of an unknown function which is then shown to be the solution of an integro‐differential equation. Numerical solution of the integro‐differential equation is obtained. The resultant stress intensity magnification factors for the elliptical crack in the cylinder are presented in graphical forms for various crack aspect ratios and proximity rat

ISSN:0044-2267    

DOI:10.1002/zamm.19970770909

出版商:WILEY‐VCH Verlag    

年代:1997

数据来源: WILEY

摘要:

AbstractA simple potential problem leads to closed‐form expressions for some definite integrals which do not seem to be readily available in the relevant literature. The outlined approach indicates that simple problems might sometimes provide unexpected and, perhaps, even novel result

ISSN:0044-2267    

DOI:10.1002/zamm.19970770911

出版商:WILEY‐VCH Verlag    

年代:1997

数据来源: WILEY

摘要:

AbstractThe plane state of stress in a fully plastic rotating annular disk mounted on a rigid circular shaft is studied. The analysis is based on Tresca's yield condition, its associated flow rule, and linear strain hardening material behaviour.

ISSN:0044-2267    

DOI:10.1002/zamm.19970770912

出版商:WILEY‐VCH Verlag    

年代:1997

数据来源: WILEY