On the derivation of the nonlinear discrete equations numerically integrating the Euler PDEs
The Euler equations, namely a set of nonlinear partial differential equations (PDEs), mathematically describing the dynamics of inviscid fluids are numerically integrated by directly modeling the original continuous-domain physical system by means of a discrete multidimensional passive (MD-passive)...
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| Format: | Article |
| Language: | English |
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Wiley
1998-01-01
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| Series: | Discrete Dynamics in Nature and Society |
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| Online Access: | http://dx.doi.org/10.1155/S102602269800003X |
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| author | F. N. Koumboulis M. G. Skarpetis B. G. Mertzios |
| author_facet | F. N. Koumboulis M. G. Skarpetis B. G. Mertzios |
| author_sort | F. N. Koumboulis |
| collection | DOAJ |
| description | The Euler equations, namely a set of nonlinear partial differential equations (PDEs), mathematically describing the dynamics of inviscid fluids are numerically integrated by directly modeling the original continuous-domain physical system by means of a discrete multidimensional passive (MD-passive) dynamic system, using principles of MD nonlinear digital filtering. The resulting integration algorithm is highly robust, thus attenuating the numerical noise during the execution of the steps of the discrete algorithm. The nonlinear discrete equations approximating the inviscid fluid dynamic phenomena are explicitly determined. Furthermore, the WDF circuit realization of the Euler equations is determined. Finally, two alternative MD WDF set of nonlinear equations, integrating the Euler equations are analytically determined. |
| format | Article |
| id | doaj-art-befbfe9226ef4daeb29990dba6471017 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 1998-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-befbfe9226ef4daeb29990dba64710172025-02-03T05:48:13ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X1998-01-0121415110.1155/S102602269800003XOn the derivation of the nonlinear discrete equations numerically integrating the Euler PDEsF. N. Koumboulis0M. G. Skarpetis1B. G. Mertzios2University of Thessaly, School of Technological Sciences, Department of Mechanical & Industrial Engineering, Volos, GreeceNational Technical University of Athens, Department of Electrical and Computer Engineering, Division of Electroscience, GreeceDemocritus University of Thrace, Department of Electrical and Computer Engineering, Xanthi 67100, GreeceThe Euler equations, namely a set of nonlinear partial differential equations (PDEs), mathematically describing the dynamics of inviscid fluids are numerically integrated by directly modeling the original continuous-domain physical system by means of a discrete multidimensional passive (MD-passive) dynamic system, using principles of MD nonlinear digital filtering. The resulting integration algorithm is highly robust, thus attenuating the numerical noise during the execution of the steps of the discrete algorithm. The nonlinear discrete equations approximating the inviscid fluid dynamic phenomena are explicitly determined. Furthermore, the WDF circuit realization of the Euler equations is determined. Finally, two alternative MD WDF set of nonlinear equations, integrating the Euler equations are analytically determined.http://dx.doi.org/10.1155/S102602269800003XNumerical methodsNonlinear dynamicsInfinite dimensional systems. |
| spellingShingle | F. N. Koumboulis M. G. Skarpetis B. G. Mertzios On the derivation of the nonlinear discrete equations numerically integrating the Euler PDEs Discrete Dynamics in Nature and Society Numerical methods Nonlinear dynamics Infinite dimensional systems. |
| title | On the derivation of the nonlinear discrete equations numerically integrating the Euler PDEs |
| title_full | On the derivation of the nonlinear discrete equations numerically integrating the Euler PDEs |
| title_fullStr | On the derivation of the nonlinear discrete equations numerically integrating the Euler PDEs |
| title_full_unstemmed | On the derivation of the nonlinear discrete equations numerically integrating the Euler PDEs |
| title_short | On the derivation of the nonlinear discrete equations numerically integrating the Euler PDEs |
| title_sort | on the derivation of the nonlinear discrete equations numerically integrating the euler pdes |
| topic | Numerical methods Nonlinear dynamics Infinite dimensional systems. |
| url | http://dx.doi.org/10.1155/S102602269800003X |
| work_keys_str_mv | AT fnkoumboulis onthederivationofthenonlineardiscreteequationsnumericallyintegratingtheeulerpdes AT mgskarpetis onthederivationofthenonlineardiscreteequationsnumericallyintegratingtheeulerpdes AT bgmertzios onthederivationofthenonlineardiscreteequationsnumericallyintegratingtheeulerpdes |