Boundary Conditions for the Shallow Water Equations solved by Kinetic Schemes
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(105) e d , j g1 m _q gx^ l f = j=midno \Vg \ idn _o§dnmdnjLd id gxff p ^ l p g jLo Spl _m id Ldnj }. :k` ^ g m4 g f _ f j \ %dnjP k e j=o g p zm \ k \ fnf dj } e l \ idn g mm eL^ \g \ e k e jLo g ip¢dm _l fg _o Pp g m f dnoH gkfnf \ _m fhg m q gx^ l f _mz e m \ m jLo io m \ ^ \ d ^ m _lìdm gxf g pPm ^ l e _o¨'d \ ! j d }Be m.|LÇvL |= `1 ul _m _j \ % g f _ f,g 'oLd¡© _j d ^ _m j \ m jLo _q gk^ l f ¦ jLmdno g \ lLl md \ o g dnjLdnj } k© \ d ! ['\ dnjLd id gxf m g dnm g BjLm g j g f _ f £ :: ^ ¤dnj \ dn g m m \ k'j§dj d }e |L :L£ g ¤_ _l fhg \ .dnjP k ' e jLo g ip Sp g m f dnoH gxfnf,g jLo \ 1l _m id _o e k k g dnm } k'dnj } ^ =' QQ
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(107) , e m d 'dnm g}f gxf k g Vm .l _m id gxf m g jLm g j z f _d pl f M 8 O Q ,j Jg \ z k g Q Q
(108) ' , dnmüj g \ _oHo e \ m ^gkfnf g io l \ g \ e k e jLo g ipP \ e jLo g ip BjLoLd id j ^ m _j id gxfg jLo ff k'dnj } b ;L L \ Po gxe ^g id gkfnf p mi'd \ m K ; NOfQ 0zjLd ^g 'm fne id j=m \ _m _q gk^ l f _m g %m \ k'jdnj \ @l - ''4 ¦ dnj id g k^ vj J Y. W. J. Y. . . . . . J. . :. . . a. . J. l. W. }. . Y. . ". . . . . . J. . J. . . . . . . . . Y. . . }~. . o}. J J. Zo~}. . . J . . . J. J . . J C. . . . k. . . . }. . . . . . J ~. Y. . ~}. . k. . . . . . . . C. . . . . . ~ . . . . . . . . . . . ;~. . . J. . . . Z. . . . . . . . ~ . . . . . . . C . ~ ;. . . . . . . . . . . . . . ~. . . . . #~ . Y. . . . . }l ~. ~. . Y. . . J. . . #l. . . H Y. . . . . %. . H Y.
(109) . . . . . Y. l. . . . J. ~}. . . . . . . . . . ghg Õ ijlk m'k. . . . ;. . . . J. a. . . . . #. . C. . . C. ~~ . . . . C. . . . l. . . . . . . . . . . . . . . . . . . . . . k. ~ . . }. . . J Y !. . . . J . 3 . . #. . . . . . . J C. ~. . . . . J. . J J. . . . . . . . . . . l. J. ~. ;~. ". J . ~. k . . Y. . . T . . . . Y. . ;~. i. . J. . . }. . . . . . . S. . ~ . . #. . . . . . . . . C J. . T . . l } Y. . . . . ~. . . . ~. . . S Y. . . . J. . . . . l. . . . . . W. . a. . . . C. . ~ . !. ~. ~ ;. !. . . . J J. ; . . . . J} . J} . s. . . . J. Y~. C. . W. f. . . J . . o. a. . . #~ . . . C. . . . . . #. . Y. . l. . . . . J. . . . J Y. . . ~. ~~. . . . . ~ T . . . ;~. . . J. . . . . . . . . #. . . Y. . ;. . . . . . . . Y.
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