4. Thaum twg yog qhov ruaj khov inviscid flow hyperbolic? Kev piav qhia: Nyob rau hauv subsonic speeds, khov kho inviscid flow yog elliptic. Thaum tus lej Mach ntau dua 1, lawv ua hyperbolic .
Vim li cas yoj equation is hyperbolic?
Yog b2 − 4ac > 0, peb hais qhov sib npaug yog hyperbolic. Yog tias b2 − 4ac=0, peb hais qhov sib npaug yog parabolic. Yog tias b2 − 4ac < 0, peb hais tias qhov sib npaug yog elliptic. … The wave equation utt − uxx=0 is hyperbolic .
Qhov twg hauv qab no yog qhov xwm txheej rau qhov sib npaug ntawm qhov sib txawv los ua hyperbolic Mcq?
Kev piav qhia: Rau qhov kev txiav txim thib ob ntawm qhov sib txawv ntawm qhov sib npaug ua qhov sib npaug, qhov sib npaug yuav tsum txaus siab rau qhov xwm txheej, b2-ac>0 .
Qhov twg ntawm cov yam ntxwv no siv rau kev sib npaug parabolic?
Plag: Parabolic equations muaj lawv qhov kev txiav txim siab sib npaug rau xoom. Yog li, lawv tsuas tau txais ib txoj kab tus yam ntxwv tiag tiag los ntawm qhov kev txiav txim siab .
Dab tsi yog hom kev sib faib ib nrab?
Raws li peb yuav pom, muaj peb hom PDEs - hyperbolic, parabolic, thiab elliptic PDEs. Los ntawm qhov pom ntawm lub cev, cov PDEs feem ntau sawv cev rau kev nthuav tawm nthwv dej, cov txheej txheem sib kis raws sij hawm, thiab lub xeev khov kho lossis cov txheej txheem sib npaug .
Hyperbolic Problems: Example - Steady Inviscid Supersonic Flows CFD PDE Numerical Supersonic 1
