In this work we present a rather general approach to approximate the
solutions of nonlocal conservation laws. Thereby, we approximate in a first
step the nonlocal term with an appropriate quadrature rule applied to the
spatial discretization. Then, we apply a numerical flux function on the reduced
problem. We present explicit conditions which such a numerical flux function
needs to fulfill. These conditions guarantee the convergence to the weak
entropy solution of the considered model class. Numerical examples validate our
theoretical findings and demonstrate that the approach can be applied to
further nonlocal problems