  A general procedure to construct a class of simple and efficient high
resolution Total Variation Diminishing (TVD) schemes for non-linear hyperbolic
conservation laws by introducing anti-diffusive terms with the flux limiters is
presented. In the present work the numerical flux function for space
discretization is constructed as a combination of numerical flux function of
any entropy satisfying first order accurate scheme and second order accurate
upstream scheme using the flux limiter function. The obtained high resolution
schemes are shown to be TVD for 1-D scalar case. Bounds for the limiter
function are given. Numerical experiments for various test problems clearly
show that the resulting schemes give entropy consistent solution with higher
resolution as compared to their corresponding first order schemes.
