**Problem C1.1.**** Inviscid Flow through a Channel with a Smooth Bump**

**Overview **

This problem is aimed at testing high-order methods for the computation of internal flow with a high-order curved boundary representation. In this subsonic flow problem, the geometry is smooth, and so is the flow. Entropy should be a constant in the flow field. The L2 norm of the entropy error is then used as the indicator of solution accuracy since the analytical solution is unknown.

**Governing Equations**

The governing equation is the 2D Euler equations with a constant ratio of specific heats of 1.4.

**Flow Conditions**

The inflow Mach number is 0.5 with 0 angle of attack.

**Geometry**

The computational domain is bounded between x = -1.5 and x = 1.5, and between the bump and y = 0.8, as shown in Figure 1.1. The bump is defined as

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Figure 1.1 Channel with a Smooth Bump

**Boundary Conditions**

Left boundary: subsonic inflow

Right boundary: subsonic exit

Top boundary: symmetry

Bottom boundary: slip wall

**Requirements**

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