M3 Develop two finite volume schemes for the Burgers equationu+uux = μUxr, =const > 0.applying a) upwind interpolation b) linear interpolationAns. a)dif u > 0,. ... ... 24+1-24 +14-1dt u +-<=P-2Azu7+1-47dif u < 0,Az214+1-24 +14-1Arªdt" +2Ar1+IP402b)24+1-24 +14-1Ar²

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Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.4: Definition Of Function

Problem 56E

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Compute 1 $ Jz-ilmı (22 +4)2lz
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Develop two finite volume schemes for the Burgers equation u+uux = μ = const > 0. applying a) upwind interpolation b) linear interpolation Ans. a) b) if u > 0, dt 4+ d if u <0, + de + 1 402 2AT 2Ax -4- 14+1-24 +14-1 Az2 -P. 14+1-24 +14-1 Ara mp 14+1-24 +14-1 Ar2