  We develop a second-order accurate central scheme for the two-dimensional
hyperbolic system of in-homogeneous conservation laws. The main idea behind the
scheme is that we combine the well-balanced deviation method with the
Kurganov-Tadmor (KT) scheme. The approach satisfies the well-balanced property
and retains the advantages of KT scheme: Riemann-solver-free and the avoidance
of oversampling on the regions between Riemann-fans. The scheme is implemented
and applied to a number of numerical experiments for the Euler equations with
gravitational source term and the results are non-oscillatory. Based on the
same idea, we construct a semi-discrete scheme where we combine the above two
methods and illustrate the maximum principle.
