Library

X
feed icon rss

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
  • 1
    Electronic Resource
    Electronic Resource
    A particle model of compressible fluids (1997)
    Springer
    Numerische Mathematik 76 (1997), S. 111-142 
    Details
    ISSN: 0945-3245
    Keywords: Mathematics Subject Classification (1991): 76N99, 76M25, 65M12, 65M99
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary. Fluid mechanics describes the motion of mass in space under the influence of internal and external forces. The particle model presented in this article is based on this fact. The fluid is subdivided into a finite number of small mass packets, the particles. These mass packets have a finite extension and share all properties with the fluid, except for the restriction that they cannot get deformed and can perform only rigid body motions. The forces acting upon the particles are identical to those acting on a part of a fluid. The exact conservation of mass and, for the case of adiabatic flows, also of entropy is automatically guaranteed by the approach. When the particle size tends to zero, the mean local displacement of the particles converges in the weak sense. In the inviscid case, the resulting flows can be regarded as solutions of the Euler equations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s002110050256
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    Particles of variable size (1999)
    Springer
    Numerische Mathematik 82 (1999), S. 143-159 
    Details
    ISSN: 0945-3245
    Keywords: Mathematics Subject Classification (1991):76N99, 76M25, 65M99
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract. A problem of all particle methods is that they produce large vacuum regions when they are applied to a free gas flow, for example. With the approach recently proposed by the author [Numer. Math. (1997) 76: 111–142], this difficulty can be avoided. One can let the particles adapt their size to the local state of the fluid. How, is described in the present article. The diameter as an additional degree of freedom strongly improves the performance of the numerical methods based on this particle model.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s002110050414
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    Entropy generation and shock resolution in the particle model of compressible fluids (1999)
    Springer
    Numerische Mathematik 82 (1999), S. 161-177 
    Details
    ISSN: 0945-3245
    Keywords: Mathematics Subject Classification (1991):76N99, 76M25, 65M99
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract. The examination of the particle model of compressible fluids that has been developed by the author [Numer. Math. (1997) 76: 111–142] and that has recently been extended to particles of variable size [Numer. Math. (1999) 82: 143–159], is continued. It is shown that, in the limit of particle sizes tending to zero, both the mass density and the mass flux density and the entropy density and the entropy flux density converge in the weak sense and satisfy the corresponding conservation laws. To incorporate entropy generation in shocks, a new kind of viscous force is introduced.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s002110050415
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 4
    Electronic Resource
    Electronic Resource
    Coarse grid spaces for domains with a complicated boundary (1999)
    Springer
    Numerical algorithms 21 (1999), S. 387-392 
    Details
    ISSN: 1572-9265
    Keywords: multigrid methods ; domains of complicated shape ; 65N55 ; 65N30
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract It is shown that, with homogeneous Dirichlet boundary conditions, the condition number of finite element discretization matrices remains uniformly bounded independent of the size of the boundary elements provided that the size of the elements increases with their distance to the boundary. This fact allows the construction of simple multigrid methods of optimal complexity for domains of nearly arbitrary shape.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1019157313043
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
Close ⊗
This website uses cookies and the analysis tool Matomo. More information can be found here...