APA RESEARCH PAPER

APA Research Paper

Residual distribution

We consider the second-order unquestionable numerical solution of general time-dependent hyperbolic conservation laws over unstructured grids in the structure of the Residual Distribution method. In alignment to accomplish full conservation of the linear, monotone and first-order space-time schemes of, we continue the conservative residual distribution (CRD) formulation of to prismatic space-time elements. We then study the design of second-order unquestionable and monotone schemes by the nonlinear mapping of the localized residuals of linear monotone schemes. We draw from sufficient and necessary conditions for the well-posed ness of the mapping. We verify that the schemes got with ...