On Meshless Collocation Approximations of Conservation Laws: Preliminary Investigations on Positive Schemes and Dissipation Models

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F01%3A00066020" target="_blank" >RIV/68407700:21220/01:00066020 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1002/1521-4001(200106)81:6<403::AID-ZAMM403>3.0.CO;2-T" target="_blank" >http://dx.doi.org/10.1002/1521-4001(200106)81:6<403::AID-ZAMM403>3.0.CO;2-T</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/1521-4001(200106)81:6<403::AID-ZAMM403>3.0.CO;2-T" target="_blank" >10.1002/1521-4001(200106)81:6<403::AID-ZAMM403>3.0.CO;2-T</a>

Result language
angličtina
Original language name
On Meshless Collocation Approximations of Conservation Laws: Preliminary Investigations on Positive Schemes and Dissipation Models
Original language description
We consider meshless collocation methods for the numerical solution of transport processes described by hyperbolic conservation laws. The future goal is the construction of a robust and reliable meshfree discretization method for the equations of gas dynamics in complex geometries. In this paper we start with the simplest scalar model problems and analyze basic problems occurring in the grid-free approach. A topological condition on clouds of points is derived and several possible versions of a generalized Lax-Friedrichs scheme are discussed with respect to their numerical dissipation. A moving least-squares approach is followed to construct a positive discretization for solutions with shocks which is thoroughly analyzed and applied to test problems.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Publication year
2001
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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