Only the author serial Chapter 4 mod_diff and mod_initial modules are wrapped; their contents are unchanged. The main follows the chapter shallow-water time-stepping equations on a 100-cell periodic grid for 200 steps. It checks the centered difference against a discrete sine derivative, the upwind difference against an independently indexed periodic reference, Gaussian peak/symmetry, finite water height/velocity, positive total depth, nontrivial evolution, and conservation of integrated elevation. The example uses REAL32, with REAL64 accumulation of mass. I2 classifies the demonstrated PDE calculation; H1 classifies diff_centered/diff_upwind as numerical differentiation. This is an educational finite-difference demonstration, not validation of a production tsunami model. Other chapters, coarrays and parallel scaling are not verified. MIT notices are retained.
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Build record verified 2026-10-30.
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Only the author serial Chapter 4 mod_diff and mod_initial modules are wrapped; their contents are unchanged. The main follows the chapter shallow-water time-stepping equations on a 100-cell periodic grid for 200 steps. It checks the centered difference against a discrete sine derivative, the upwind difference against an independently indexed periodic reference, Gaussian peak/symmetry, finite water height/velocity, positive total depth, nontrivial evolution, and conservation of integrated elevation. The example uses REAL32, with REAL64 accumulation of mass. I2 classifies the demonstrated PDE calculation; H1 classifies diff_centered/diff_upwind as numerical differentiation. This is an educational finite-difference demonstration, not validation of a production tsunami model. Other chapters, coarrays and parallel scaling are not verified. MIT notices are retained.