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CFD First Layer Grid Height & y⁺ Boundary Layer Mesh Calculator

Easily calculate and compute cfd first layer grid height & y⁺ boundary layer mesh calculator with accurate equations, live formulas, and expert guidance.

Freestream or characteristic inlet flow velocity.

Airfoil chord, pipe diameter, or vehicle length.

Air at standard sea-level ≈ 1.5e-5 m²/s; water ≈ 1.0e-6 m²/s.

Standard sea-level air = 1.225 kg/m³.

Resolved viscous sublayer (k-omega SST) y⁺ ≈ 1.0; wall functions (k-epsilon) y⁺ ≈ 30 to 100.

Calculated Result
26.1 µm

First Layer Height

First Layer Height

26.1 µm

First Layer Height Microns

26.1

First Layer Height Mm

0.026

Reynolds Number

3000000

Friction Velocity M Per Sec

1.15

26.1 — µm

Calculation Breakdown

  1. Applied FormulaCalculates the required near-wall prism layer first cell height (y⁺) for viscous sublayer resolving (Low-Re) or wall-modeled (High-Re) CFD simulations.\Delta y = \frac{y^+ \nu}{u_\tau}, \quad u_\tau = \sqrt{\frac{\tau_w}{\rho}}

CFD First Layer Mesh y⁺ Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.06.5132026First Layer Height

What Is the CFD First Layer Grid Height & y⁺ Boundary Layer Mesh Calculator?

This tool computes cfd first layer grid height & y⁺ boundary layer mesh calculator with high precision arithmetic.

How Does the CFD First Layer Grid Height & y⁺ Boundary Layer Mesh Calculator Work?

Calculates the required near-wall prism layer first cell height (y⁺) for viscous sublayer resolving (Low-Re) or wall-modeled (High-Re) CFD simulations.

CFD First Layer Grid Height & y⁺ Boundary Layer Mesh Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Δy=y+νuτ,uτ=τwρ\Delta y = \frac{y^+ \nu}{u_\tau}, \quad u_\tau = \sqrt{\frac{\tau_w}{\rho}}

Calculates the required near-wall prism layer first cell height (y⁺) for viscous sublayer resolving (Low-Re) or wall-modeled (High-Re) CFD simulations.

How to Use the CFD First Layer Grid Height & y⁺ Boundary Layer Mesh Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

CFD First Layer Grid Height & y⁺ Boundary Layer Mesh Calculator Example

Input Values:

freeStreamVelocityMPerSec:30
characteristicLengthMeters:1.5
kinematicViscosityM2PerSec:0.000015
fluidDensityKgPerM3:1.225
targetYPlus:1
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required µm.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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