The main goal of solution verification is to assess the convergence of numerical predictions as a function of discretization variables such as element size Δx or time step Δt. The challenge is to verify that the approximate solutions of the discretized conservation laws or equations-of-motion converge to the solution of the continuous equations. In the case of code verification where the continuous solution of a test problem is known, common practice is to obtain several discrete solutions from successively refined meshes or grids; calculate norms of the solution error; and verify the rate with which discrete solutions converge to the continuous solution.
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