Six limiters and methods of their parameters were researched

of which the adaptive VenkatakrishnanM limiter was able to balance the compression and dissipation of limiter by changing parameters adaptively. Numerical computations show that

limiters of unstructured grid are susceptible to neighbor set methods

and the common-face method has about 15% higher precision than the common-node one; under conditions of high Mach number

the compressive limiters have about 10%-40% higher precision than the dissipative ones; flow fields computed with the direction gradient method are more smooth than the augment method; the adaptive VenkatakrishnanM limiter is able to simulate complex supersonic flows.