This simplified model captures the main relationship only. Boundary conditions, losses, nonlinear effects, and code-specific corrections still need separate checks.
How to read it
Use the main plot to read the controlling trend, including break points that a single result card can hide.
Use the sensitivity view to find input combinations where margin collapses quickly.
For early design, focus on which input controls margin before trusting the absolute value.
Learn Crank Nicolson by dialogue
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When reading Crank Nicolson, where should I look first? Moving Diffusivity alpha changes both the plots and the result cards.
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Start with Dimensionless r, but do not treat the number as the whole answer. Use Amplification versus wavenumber to confirm the assumed state, then read r and diffusion-length breakdown for the distribution or trend. Use the main plot to read the controlling trend, including break points that a single result card can hide.
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I can see why Diffusivity alpha changes Dimensionless r. How should I judge the influence of Time step dt?
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Move Time step dt in small steps and watch Diffusion length. That reveals which term is controlling the result. This simplified model captures the main relationship only. Boundary conditions, losses, nonlinear effects, and code-specific corrections still need separate checks. A single operating point is not enough; sweep the realistic scatter range.
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What is dt-dx r map for? It feels like the ordinary curve already tells the story.
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dt-dx r map is for finding boundaries where the condition becomes risky or margin collapses quickly. Use the sensitivity view to find input combinations where margin collapses quickly. In First-pass comparison of design options before review, the important question is often what happens after a small change, not only the nominal value.
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So if Dimensionless r is within the target, can I accept the condition?
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Treat this as a first-pass review. It helps with Narrowing controlling factors and worst-side conditions before detailed analysis and Teaching or explaining the equation, numbers, and visualization under the same inputs, but final decisions still need standards, measured data, detailed analysis, and vendor limits. For early design, focus on which input controls margin before trusting the absolute value.
Practical use
First-pass comparison of design options before review.
Narrowing controlling factors and worst-side conditions before detailed analysis.
Teaching or explaining the equation, numbers, and visualization under the same inputs.
FAQ
Start with Dimensionless r and Diffusion length. Then use Amplification versus wavenumber to confirm the assumed state and r and diffusion-length breakdown to read distribution or bias. Use the main plot to read the controlling trend, including break points that a single result card can hide
Move Diffusivity alpha alone, then move Time step dt by a comparable amount and compare the change in Dimensionless r. dt-dx r map shows combinations where margin or performance changes quickly.
Use it for First-pass comparison of design options before review. Instead of trusting a single point, widen the input range and check whether Dimensionless r keeps enough margin before moving to detailed analysis.
This simplified model captures the main relationship only. Boundary conditions, losses, nonlinear effects, and code-specific corrections still need separate checks. Final decisions still require standards, measured data, detailed analysis, and vendor limits.