A Finite Element Scheme for Shock Capturing Part 2 pptx

Figure 1. Definition of terms for a moving hydraulic jump

Uo = velocity at section 0

ho = depth at section 0

U1 = velocity at section 1

hl = depth at section 1

Vo = Uo - V, the velocity at section 0 relative to the jump

V1 = U1 - V, relative velocity at section 1

Mass. Now following an infinitesimal fluid element in our moving coordi￾nate system we know that mass is conserved so we have,

where p, the fluid density, is a constant here.

Across the element we have

p(Vlhl - Vehe) = 0

Chapter 1 Introduction