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Courant Number Calculator
Ensure Stability in Your CFD Simulations
Welcome to the Courant Number Calculator, a simple yet essential tool for computational fluid dynamics (CFD) enthusiasts and professionals. This calculator helps you determine the Courant number to ensure time step stability in explicit solvers, critical for achieving accurate and reliable CFD results.
What is the Courant Number?
Definition
Why Use This Calculator?
How to Use the Calculator
The Courant number is a dimensionless quantity that measures the relationship between the time step size, flow velocity, and grid size in a simulation. It plays a vital role in maintaining numerical stability, particularly in explicit solvers. A Courant number less than or equal to 1 is typically recommended for stability.
This calculator simplifies the process of computing the Courant number by automating the formula. It helps you:
- Validate your simulation settings.
- Identify if the chosen time step and grid size are appropriate.
- Avoid simulation instability and errors.
- Enter Flow Velocity: Input the velocity of the fluid in meters per second (m/s).
- Input Cell Size: Specify the size of the grid cell in meters (m).
- Set the Time Step: Provide the time step in seconds (s).
- Click "Calculate": Press the yellow button to compute the Courant number.
- Get Results: The Courant number and a fun fact about CFD will be displayed instantly.