Toro's test suite

We are using an approximate Riemann solver, therefore we need to test how well this solver behave for hydrodynamics. In order to do so we use the test suite from the book bt Toro. Those tests were made to show all the problem of Roe type solver.

	density left	V left	P left	density rigth	V right	P right
test 1	1	0.75	1.0	0.125	0.0	0.1
test 2	1.0	-2.0	0.4	1.0	2.0	0.4
test 3	1.0	0.0	1000.0	1.0	0.0	0.01
test 4	5.99924	19.5975	460.894	5.99242	-6.19633	46.0950
test 5	1.0	-19.59745	1000.0	1.0	-19.59745	0.01

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Test 1

This test is to assesse the entropy satisfaction.Its solution consist of a right shock wave, a travelling contact wave and a left sonic rarefaction wave. We see that the rarefaction is not resolved as expected.

In the case using a MUSCL approach...

In the case using a MUSCL approach with entropy fix...

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Test 2

This test is to assesse the performance of the numerical method for low density flow. Its solution consist of two symmetic rarefation waves and a trivial contact wave of zero speed. There is a problem with the velocity around x=0.5...

In the case using a MUSCL approach...

In the case using a MUSCL approach with entropy fix

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Test 3

This test is to assesse the robustness and accuracy of the numerical method . Its solution consist of a strong shock wave, a contact surface and a left rarefaction wave..

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Test 4

This test is also to assesse the robustness and accuracy of the numerical method . Its solution consist of three strong discontinuity travelling to the right/font>.