Nonlocal reaction traffic flow model with on-off ramps
We present a non-local version of a scalar balance law modeling traffic flow with on-ramps and off-ramps. The source term is used to describe the traffic flow over the on-ramp and off-ramps. We approximate the problem using an upwind-type numerical scheme and we provide L^\infty and BV estimates for...
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| creator | Chiarello, F. A Contreras, H. D Villada, L. M |
| description | We present a non-local version of a scalar balance law modeling traffic flow
with on-ramps and off-ramps. The source term is used to describe the traffic
flow over the on-ramp and off-ramps. We approximate the problem using an
upwind-type numerical scheme and we provide L^\infty and BV estimates for the
sequence of approximate solutions. Together with a discrete entropy inequality,
we also show the well-posedness of the considered class of scalar balance laws.
Some numerical simulations illustrate the behaviour of solutions in sample
cases. |
| doi_str_mv | 10.48550/arxiv.2109.04141 |
| format | Article |
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with on-ramps and off-ramps. The source term is used to describe the traffic
flow over the on-ramp and off-ramps. We approximate the problem using an
upwind-type numerical scheme and we provide L^\infty and BV estimates for the
sequence of approximate solutions. Together with a discrete entropy inequality,
we also show the well-posedness of the considered class of scalar balance laws.
Some numerical simulations illustrate the behaviour of solutions in sample
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with on-ramps and off-ramps. The source term is used to describe the traffic
flow over the on-ramp and off-ramps. We approximate the problem using an
upwind-type numerical scheme and we provide L^\infty and BV estimates for the
sequence of approximate solutions. Together with a discrete entropy inequality,
we also show the well-posedness of the considered class of scalar balance laws.
Some numerical simulations illustrate the behaviour of solutions in sample
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with on-ramps and off-ramps. The source term is used to describe the traffic
flow over the on-ramp and off-ramps. We approximate the problem using an
upwind-type numerical scheme and we provide L^\infty and BV estimates for the
sequence of approximate solutions. Together with a discrete entropy inequality,
we also show the well-posedness of the considered class of scalar balance laws.
Some numerical simulations illustrate the behaviour of solutions in sample
cases.</abstract><doi>10.48550/arxiv.2109.04141</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Computer Science - Numerical Analysis Mathematics - Analysis of PDEs Mathematics - Numerical Analysis |
| title | Nonlocal reaction traffic flow model with on-off ramps |
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